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Finding the Third Proportional to 219,531,424.50 and 477,325,143

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Solution

The third proportional to 219,531,424.50 and 477,325,143 is: 1,037,843,637.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,531,424.50 : 477,325,143 = 477,325,143 : x
  2. Step 2: Convert to fraction form
    219,531,424.50/477,325,143 = 477,325,143/x
  3. Step 3: Cross multiply
    219,531,424.50x = 477,325,143 × 477,325,143
  4. Step 4: Simplify right side
    219,531,424.50x = 227,839,292,139,970,464
  5. Step 5: Solve for x
    x = 227,839,292,139,970,464/219,531,424.50
  6. Step 6: Final answer
    x = 1,037,843,637.46

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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.