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Finding the Third Proportional to 96,741,306 and 210,488,427

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Solution

The third proportional to 96,741,306 and 210,488,427 is: 457,977,876.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741,306 : 210,488,427 = 210,488,427 : x
  2. Step 2: Convert to fraction form
    96,741,306/210,488,427 = 210,488,427/x
  3. Step 3: Cross multiply
    96,741,306x = 210,488,427 × 210,488,427
  4. Step 4: Simplify right side
    96,741,306x = 44,305,377,900,934,328
  5. Step 5: Solve for x
    x = 44,305,377,900,934,328/96,741,306
  6. Step 6: Final answer
    x = 457,977,876.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.