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Finding the Third Proportional to 77,498.75 and 109,690.88

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Solution

The third proportional to 77,498.75 and 109,690.88 is: 155,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.75 : 109,690.88 = 109,690.88 : x
  2. Step 2: Convert to fraction form
    77,498.75/109,690.88 = 109,690.88/x
  3. Step 3: Cross multiply
    77,498.75x = 109,690.88 × 109,690.88
  4. Step 4: Simplify right side
    77,498.75x = 12,032,088,058.27
  5. Step 5: Solve for x
    x = 12,032,088,058.27/77,498.75
  6. Step 6: Final answer
    x = 155,255.25

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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.