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Finding the Third Proportional to 78,807.38 and 171,010.69

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Solution

The third proportional to 78,807.38 and 171,010.69 is: 371,090.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,807.38 : 171,010.69 = 171,010.69 : x
  2. Step 2: Convert to fraction form
    78,807.38/171,010.69 = 171,010.69/x
  3. Step 3: Cross multiply
    78,807.38x = 171,010.69 × 171,010.69
  4. Step 4: Simplify right side
    78,807.38x = 29,244,655,239.22
  5. Step 5: Solve for x
    x = 29,244,655,239.22/78,807.38
  6. Step 6: Final answer
    x = 371,090.34

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