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Finding the Third Proportional to 77,677.31 and 170,177.63

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Solution

The third proportional to 77,677.31 and 170,177.63 is: 372,829.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,677.31 : 170,177.63 = 170,177.63 : x
  2. Step 2: Convert to fraction form
    77,677.31/170,177.63 = 170,177.63/x
  3. Step 3: Cross multiply
    77,677.31x = 170,177.63 × 170,177.63
  4. Step 4: Simplify right side
    77,677.31x = 28,960,424,050.64
  5. Step 5: Solve for x
    x = 28,960,424,050.64/77,677.31
  6. Step 6: Final answer
    x = 372,829.89

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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.