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Finding the Third Proportional to 102,801.81 and 153,350.56

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Solution

The third proportional to 102,801.81 and 153,350.56 is: 228,754.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,801.81 : 153,350.56 = 153,350.56 : x
  2. Step 2: Convert to fraction form
    102,801.81/153,350.56 = 153,350.56/x
  3. Step 3: Cross multiply
    102,801.81x = 153,350.56 × 153,350.56
  4. Step 4: Simplify right side
    102,801.81x = 23,516,394,420.04
  5. Step 5: Solve for x
    x = 23,516,394,420.04/102,801.81
  6. Step 6: Final answer
    x = 228,754.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.