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Finding the Third Proportional to 219,769,037,611.88 and 476,048,420,681.05

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Solution

The third proportional to 219,769,037,611.88 and 476,048,420,681.05 is: 1,031,183,015,112.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,769,037,611.88 : 476,048,420,681.05 = 476,048,420,681.05 : x
  2. Step 2: Convert to fraction form
    219,769,037,611.88/476,048,420,681.05 = 476,048,420,681.05/x
  3. Step 3: Cross multiply
    219,769,037,611.88x = 476,048,420,681.05 × 476,048,420,681.05
  4. Step 4: Simplify right side
    219,769,037,611.88x = 226,622,098,832,921,930,498,048
  5. Step 5: Solve for x
    x = 226,622,098,832,921,930,498,048/219,769,037,611.88
  6. Step 6: Final answer
    x = 1,031,183,015,112.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.