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Finding the Third Proportional to 107,290.13 and 157,647.94

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Solution

The third proportional to 107,290.13 and 157,647.94 is: 231,641.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,290.13 : 157,647.94 = 157,647.94 : x
  2. Step 2: Convert to fraction form
    107,290.13/157,647.94 = 157,647.94/x
  3. Step 3: Cross multiply
    107,290.13x = 157,647.94 × 157,647.94
  4. Step 4: Simplify right side
    107,290.13x = 24,852,872,198.00
  5. Step 5: Solve for x
    x = 24,852,872,198.00/107,290.13
  6. Step 6: Final answer
    x = 231,641.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.