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Finding the Third Proportional to 86,937.47 and 185,357.53

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Solution

The third proportional to 86,937.47 and 185,357.53 is: 395,196.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,937.47 : 185,357.53 = 185,357.53 : x
  2. Step 2: Convert to fraction form
    86,937.47/185,357.53 = 185,357.53/x
  3. Step 3: Cross multiply
    86,937.47x = 185,357.53 × 185,357.53
  4. Step 4: Simplify right side
    86,937.47x = 34,357,414,391.09
  5. Step 5: Solve for x
    x = 34,357,414,391.09/86,937.47
  6. Step 6: Final answer
    x = 395,196.86

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.