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Finding the Third Proportional to 107,149.13 and 229,060.25

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Solution

The third proportional to 107,149.13 and 229,060.25 is: 489,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,149.13 : 229,060.25 = 229,060.25 : x
  2. Step 2: Convert to fraction form
    107,149.13/229,060.25 = 229,060.25/x
  3. Step 3: Cross multiply
    107,149.13x = 229,060.25 × 229,060.25
  4. Step 4: Simplify right side
    107,149.13x = 52,468,598,130.06
  5. Step 5: Solve for x
    x = 52,468,598,130.06/107,149.13
  6. Step 6: Final answer
    x = 489,678.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.