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Finding the Third Proportional to 86,335.88 and 187,439.06

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Solution

The third proportional to 86,335.88 and 187,439.06 is: 406,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,335.88 : 187,439.06 = 187,439.06 : x
  2. Step 2: Convert to fraction form
    86,335.88/187,439.06 = 187,439.06/x
  3. Step 3: Cross multiply
    86,335.88x = 187,439.06 × 187,439.06
  4. Step 4: Simplify right side
    86,335.88x = 35,133,402,150.88
  5. Step 5: Solve for x
    x = 35,133,402,150.88/86,335.88
  6. Step 6: Final answer
    x = 406,938.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.