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Finding the Third Proportional to 99,802,386 and 218,418,782

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Solution

The third proportional to 99,802,386 and 218,418,782 is: 478,012,262.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,802,386 : 218,418,782 = 218,418,782 : x
  2. Step 2: Convert to fraction form
    99,802,386/218,418,782 = 218,418,782/x
  3. Step 3: Cross multiply
    99,802,386x = 218,418,782 × 218,418,782
  4. Step 4: Simplify right side
    99,802,386x = 47,706,764,330,363,520
  5. Step 5: Solve for x
    x = 47,706,764,330,363,520/99,802,386
  6. Step 6: Final answer
    x = 478,012,262.46

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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.