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Finding the Third Proportional to 48,997.13 and 107,335.13

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Solution

The third proportional to 48,997.13 and 107,335.13 is: 235,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,997.13 : 107,335.13 = 107,335.13 : x
  2. Step 2: Convert to fraction form
    48,997.13/107,335.13 = 107,335.13/x
  3. Step 3: Cross multiply
    48,997.13x = 107,335.13 × 107,335.13
  4. Step 4: Simplify right side
    48,997.13x = 11,520,829,058.77
  5. Step 5: Solve for x
    x = 11,520,829,058.77/48,997.13
  6. Step 6: Final answer
    x = 235,132.76

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.