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Finding the Third Proportional to 49,776.75 and 107,470.69

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Solution

The third proportional to 49,776.75 and 107,470.69 is: 232,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,776.75 : 107,470.69 = 107,470.69 : x
  2. Step 2: Convert to fraction form
    49,776.75/107,470.69 = 107,470.69/x
  3. Step 3: Cross multiply
    49,776.75x = 107,470.69 × 107,470.69
  4. Step 4: Simplify right side
    49,776.75x = 11,549,948,671.72
  5. Step 5: Solve for x
    x = 11,549,948,671.72/49,776.75
  6. Step 6: Final answer
    x = 232,035.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.