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Finding the Third Proportional to 107,102.25 and 250,305.19

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Solution

The third proportional to 107,102.25 and 250,305.19 is: 584,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.25 : 250,305.19 = 250,305.19 : x
  2. Step 2: Convert to fraction form
    107,102.25/250,305.19 = 250,305.19/x
  3. Step 3: Cross multiply
    107,102.25x = 250,305.19 × 250,305.19
  4. Step 4: Simplify right side
    107,102.25x = 62,652,686,889.41
  5. Step 5: Solve for x
    x = 62,652,686,889.41/107,102.25
  6. Step 6: Final answer
    x = 584,980.12

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.