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Finding the Third Proportional to 99,250.31 and 216,345.94

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Solution

The third proportional to 99,250.31 and 216,345.94 is: 471,591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,250.31 : 216,345.94 = 216,345.94 : x
  2. Step 2: Convert to fraction form
    99,250.31/216,345.94 = 216,345.94/x
  3. Step 3: Cross multiply
    99,250.31x = 216,345.94 × 216,345.94
  4. Step 4: Simplify right side
    99,250.31x = 46,805,564,672.75
  5. Step 5: Solve for x
    x = 46,805,564,672.75/99,250.31
  6. Step 6: Final answer
    x = 471,591.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.