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Finding the Third Proportional to 77,498.30 and 109,690.17

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Solution

The third proportional to 77,498.30 and 109,690.17 is: 155,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.30 : 109,690.17 = 109,690.17 : x
  2. Step 2: Convert to fraction form
    77,498.30/109,690.17 = 109,690.17/x
  3. Step 3: Cross multiply
    77,498.30x = 109,690.17 × 109,690.17
  4. Step 4: Simplify right side
    77,498.30x = 12,031,933,805.97
  5. Step 5: Solve for x
    x = 12,031,933,805.97/77,498.30
  6. Step 6: Final answer
    x = 155,254.17

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.