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Finding the Third Proportional to 86,088.66 and 182,598.47

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Solution

The third proportional to 86,088.66 and 182,598.47 is: 387,300.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,088.66 : 182,598.47 = 182,598.47 : x
  2. Step 2: Convert to fraction form
    86,088.66/182,598.47 = 182,598.47/x
  3. Step 3: Cross multiply
    86,088.66x = 182,598.47 × 182,598.47
  4. Step 4: Simplify right side
    86,088.66x = 33,342,200,789.84
  5. Step 5: Solve for x
    x = 33,342,200,789.84/86,088.66
  6. Step 6: Final answer
    x = 387,300.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.