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Finding the Third Proportional to 70,318.13 and 151,682.63

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Solution

The third proportional to 70,318.13 and 151,682.63 is: 327,193.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,318.13 : 151,682.63 = 151,682.63 : x
  2. Step 2: Convert to fraction form
    70,318.13/151,682.63 = 151,682.63/x
  3. Step 3: Cross multiply
    70,318.13x = 151,682.63 × 151,682.63
  4. Step 4: Simplify right side
    70,318.13x = 23,007,618,726.89
  5. Step 5: Solve for x
    x = 23,007,618,726.89/70,318.13
  6. Step 6: Final answer
    x = 327,193.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.