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Finding the Third Proportional to 100,567.13 and 217,085.88

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Solution

The third proportional to 100,567.13 and 217,085.88 is: 468,605.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,567.13 : 217,085.88 = 217,085.88 : x
  2. Step 2: Convert to fraction form
    100,567.13/217,085.88 = 217,085.88/x
  3. Step 3: Cross multiply
    100,567.13x = 217,085.88 × 217,085.88
  4. Step 4: Simplify right side
    100,567.13x = 47,126,277,124.52
  5. Step 5: Solve for x
    x = 47,126,277,124.52/100,567.13
  6. Step 6: Final answer
    x = 468,605.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.