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Finding the Third Proportional to 99,422,023.80 and 216,053,601.86

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Solution

The third proportional to 99,422,023.80 and 216,053,601.86 is: 469,505,217.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422,023.80 : 216,053,601.86 = 216,053,601.86 : x
  2. Step 2: Convert to fraction form
    99,422,023.80/216,053,601.86 = 216,053,601.86/x
  3. Step 3: Cross multiply
    99,422,023.80x = 216,053,601.86 × 216,053,601.86
  4. Step 4: Simplify right side
    99,422,023.80x = 46,679,158,874,726,264
  5. Step 5: Solve for x
    x = 46,679,158,874,726,264/99,422,023.80
  6. Step 6: Final answer
    x = 469,505,217.17

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.