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Finding the Third Proportional to 97,617.66 and 148,488.19

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Solution

The third proportional to 97,617.66 and 148,488.19 is: 225,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,617.66 : 148,488.19 = 148,488.19 : x
  2. Step 2: Convert to fraction form
    97,617.66/148,488.19 = 148,488.19/x
  3. Step 3: Cross multiply
    97,617.66x = 148,488.19 × 148,488.19
  4. Step 4: Simplify right side
    97,617.66x = 22,048,741,827.04
  5. Step 5: Solve for x
    x = 22,048,741,827.04/97,617.66
  6. Step 6: Final answer
    x = 225,868.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.