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Finding the Third Proportional to 99,802,384 and 218,418,778

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Solution

The third proportional to 99,802,384 and 218,418,778 is: 478,012,254.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802,384 : 218,418,778 = 218,418,778 : x
  2. Step 2: Convert to fraction form
    99,802,384/218,418,778 = 218,418,778/x
  3. Step 3: Cross multiply
    99,802,384x = 218,418,778 × 218,418,778
  4. Step 4: Simplify right side
    99,802,384x = 47,706,762,583,013,280
  5. Step 5: Solve for x
    x = 47,706,762,583,013,280/99,802,384
  6. Step 6: Final answer
    x = 478,012,254.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.