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Finding the Third Proportional to 107,132.63 and 204,545.25

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Solution

The third proportional to 107,132.63 and 204,545.25 is: 390,532.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,132.63 : 204,545.25 = 204,545.25 : x
  2. Step 2: Convert to fraction form
    107,132.63/204,545.25 = 204,545.25/x
  3. Step 3: Cross multiply
    107,132.63x = 204,545.25 × 204,545.25
  4. Step 4: Simplify right side
    107,132.63x = 41,838,759,297.56
  5. Step 5: Solve for x
    x = 41,838,759,297.56/107,132.63
  6. Step 6: Final answer
    x = 390,532.38

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.