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Finding the Third Proportional to 96,553.13 and 147,701.81

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Solution

The third proportional to 96,553.13 and 147,701.81 is: 225,946.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,553.13 : 147,701.81 = 147,701.81 : x
  2. Step 2: Convert to fraction form
    96,553.13/147,701.81 = 147,701.81/x
  3. Step 3: Cross multiply
    96,553.13x = 147,701.81 × 147,701.81
  4. Step 4: Simplify right side
    96,553.13x = 21,815,825,415.79
  5. Step 5: Solve for x
    x = 21,815,825,415.79/96,553.13
  6. Step 6: Final answer
    x = 225,946.34

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.