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Finding the Third Proportional to 96,744,468 and 210,494,418

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Solution

The third proportional to 96,744,468 and 210,494,418 is: 457,988,977.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,744,468 : 210,494,418 = 210,494,418 : x
  2. Step 2: Convert to fraction form
    96,744,468/210,494,418 = 210,494,418/x
  3. Step 3: Cross multiply
    96,744,468x = 210,494,418 × 210,494,418
  4. Step 4: Simplify right side
    96,744,468x = 44,307,900,009,158,720
  5. Step 5: Solve for x
    x = 44,307,900,009,158,720/96,744,468
  6. Step 6: Final answer
    x = 457,988,977.82

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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.