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Finding the Third Proportional to 99,832.50 and 216,280.13

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Solution

The third proportional to 99,832.50 and 216,280.13 is: 468,555.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,832.50 : 216,280.13 = 216,280.13 : x
  2. Step 2: Convert to fraction form
    99,832.50/216,280.13 = 216,280.13/x
  3. Step 3: Cross multiply
    99,832.50x = 216,280.13 × 216,280.13
  4. Step 4: Simplify right side
    99,832.50x = 46,777,092,470.02
  5. Step 5: Solve for x
    x = 46,777,092,470.02/99,832.50
  6. Step 6: Final answer
    x = 468,555.76

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Why These Related Problems?

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