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Finding the Third Proportional to 99,528,493.50 and 218,188,863

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Solution

The third proportional to 99,528,493.50 and 218,188,863 is: 478,319,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,528,493.50 : 218,188,863 = 218,188,863 : x
  2. Step 2: Convert to fraction form
    99,528,493.50/218,188,863 = 218,188,863/x
  3. Step 3: Cross multiply
    99,528,493.50x = 218,188,863 × 218,188,863
  4. Step 4: Simplify right side
    99,528,493.50x = 47,606,379,937,232,768
  5. Step 5: Solve for x
    x = 47,606,379,937,232,768/99,528,493.50
  6. Step 6: Final answer
    x = 478,319,105.04

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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.