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Finding the Third Proportional to 48,193.59 and 104,430.66

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Solution

The third proportional to 48,193.59 and 104,430.66 is: 226,290.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,193.59 : 104,430.66 = 104,430.66 : x
  2. Step 2: Convert to fraction form
    48,193.59/104,430.66 = 104,430.66/x
  3. Step 3: Cross multiply
    48,193.59x = 104,430.66 × 104,430.66
  4. Step 4: Simplify right side
    48,193.59x = 10,905,761,964.81
  5. Step 5: Solve for x
    x = 10,905,761,964.81/48,193.59
  6. Step 6: Final answer
    x = 226,290.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.