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Finding the Third Proportional to 99,542.67 and 215,689.08

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Solution

The third proportional to 99,542.67 and 215,689.08 is: 467,355.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542.67 : 215,689.08 = 215,689.08 : x
  2. Step 2: Convert to fraction form
    99,542.67/215,689.08 = 215,689.08/x
  3. Step 3: Cross multiply
    99,542.67x = 215,689.08 × 215,689.08
  4. Step 4: Simplify right side
    99,542.67x = 46,521,778,422.41
  5. Step 5: Solve for x
    x = 46,521,778,422.41/99,542.67
  6. Step 6: Final answer
    x = 467,355.13

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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.