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Finding the Third Proportional to 103,042.13 and 217,154.25

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Solution

The third proportional to 103,042.13 and 217,154.25 is: 457,637.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,042.13 : 217,154.25 = 217,154.25 : x
  2. Step 2: Convert to fraction form
    103,042.13/217,154.25 = 217,154.25/x
  3. Step 3: Cross multiply
    103,042.13x = 217,154.25 × 217,154.25
  4. Step 4: Simplify right side
    103,042.13x = 47,155,968,293.06
  5. Step 5: Solve for x
    x = 47,155,968,293.06/103,042.13
  6. Step 6: Final answer
    x = 457,637.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.