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Finding the Third Proportional to 86,938.31 and 185,358.94

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Solution

The third proportional to 86,938.31 and 185,358.94 is: 395,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,938.31 : 185,358.94 = 185,358.94 : x
  2. Step 2: Convert to fraction form
    86,938.31/185,358.94 = 185,358.94/x
  3. Step 3: Cross multiply
    86,938.31x = 185,358.94 × 185,358.94
  4. Step 4: Simplify right side
    86,938.31x = 34,357,935,711.13
  5. Step 5: Solve for x
    x = 34,357,935,711.13/86,938.31
  6. Step 6: Final answer
    x = 395,199.02

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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.