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Finding the Third Proportional to 97,645.50 and 147,516.19

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Solution

The third proportional to 97,645.50 and 147,516.19 is: 222,857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,645.50 : 147,516.19 = 147,516.19 : x
  2. Step 2: Convert to fraction form
    97,645.50/147,516.19 = 147,516.19/x
  3. Step 3: Cross multiply
    97,645.50x = 147,516.19 × 147,516.19
  4. Step 4: Simplify right side
    97,645.50x = 21,761,025,574.54
  5. Step 5: Solve for x
    x = 21,761,025,574.54/97,645.50
  6. Step 6: Final answer
    x = 222,857.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.