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Finding the Third Proportional to 39,390.47 and 86,434.59

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Solution

The third proportional to 39,390.47 and 86,434.59 is: 189,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,390.47 : 86,434.59 = 86,434.59 : x
  2. Step 2: Convert to fraction form
    39,390.47/86,434.59 = 86,434.59/x
  3. Step 3: Cross multiply
    39,390.47x = 86,434.59 × 86,434.59
  4. Step 4: Simplify right side
    39,390.47x = 7,470,938,996.73
  5. Step 5: Solve for x
    x = 7,470,938,996.73/39,390.47
  6. Step 6: Final answer
    x = 189,663.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.