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Finding the Third Proportional to 97,192,772 and 214,196,524

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Solution

The third proportional to 97,192,772 and 214,196,524 is: 472,053,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,192,772 : 214,196,524 = 214,196,524 : x
  2. Step 2: Convert to fraction form
    97,192,772/214,196,524 = 214,196,524/x
  3. Step 3: Cross multiply
    97,192,772x = 214,196,524 × 214,196,524
  4. Step 4: Simplify right side
    97,192,772x = 45,880,150,893,682,576
  5. Step 5: Solve for x
    x = 45,880,150,893,682,576/97,192,772
  6. Step 6: Final answer
    x = 472,053,116.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.