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Finding the Third Proportional to 77,926.88 and 170,433.38

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Solution

The third proportional to 77,926.88 and 170,433.38 is: 372,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,926.88 : 170,433.38 = 170,433.38 : x
  2. Step 2: Convert to fraction form
    77,926.88/170,433.38 = 170,433.38/x
  3. Step 3: Cross multiply
    77,926.88x = 170,433.38 × 170,433.38
  4. Step 4: Simplify right side
    77,926.88x = 29,047,535,313.89
  5. Step 5: Solve for x
    x = 29,047,535,313.89/77,926.88
  6. Step 6: Final answer
    x = 372,753.76

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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.