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Finding the Third Proportional to 86,938.50 and 185,359.13

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Solution

The third proportional to 86,938.50 and 185,359.13 is: 395,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,938.50 : 185,359.13 = 185,359.13 : x
  2. Step 2: Convert to fraction form
    86,938.50/185,359.13 = 185,359.13/x
  3. Step 3: Cross multiply
    86,938.50x = 185,359.13 × 185,359.13
  4. Step 4: Simplify right side
    86,938.50x = 34,358,005,220.77
  5. Step 5: Solve for x
    x = 34,358,005,220.77/86,938.50
  6. Step 6: Final answer
    x = 395,198.97

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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.