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Finding the Third Proportional to 97,210.13 and 149,961.38

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Solution

The third proportional to 97,210.13 and 149,961.38 is: 231,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,210.13 : 149,961.38 = 149,961.38 : x
  2. Step 2: Convert to fraction form
    97,210.13/149,961.38 = 149,961.38/x
  3. Step 3: Cross multiply
    97,210.13x = 149,961.38 × 149,961.38
  4. Step 4: Simplify right side
    97,210.13x = 22,488,413,991.89
  5. Step 5: Solve for x
    x = 22,488,413,991.89/97,210.13
  6. Step 6: Final answer
    x = 231,338.19

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.