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Finding the Third Proportional to 87,461,766.75 and 202,479,354

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Solution

The third proportional to 87,461,766.75 and 202,479,354 is: 468,752,122.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,461,766.75 : 202,479,354 = 202,479,354 : x
  2. Step 2: Convert to fraction form
    87,461,766.75/202,479,354 = 202,479,354/x
  3. Step 3: Cross multiply
    87,461,766.75x = 202,479,354 × 202,479,354
  4. Step 4: Simplify right side
    87,461,766.75x = 40,997,888,796,257,312
  5. Step 5: Solve for x
    x = 40,997,888,796,257,312/87,461,766.75
  6. Step 6: Final answer
    x = 468,752,122.44

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.