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Finding the Third Proportional to 97,225.31 and 149,986.69

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Solution

The third proportional to 97,225.31 and 149,986.69 is: 231,380.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225.31 : 149,986.69 = 149,986.69 : x
  2. Step 2: Convert to fraction form
    97,225.31/149,986.69 = 149,986.69/x
  3. Step 3: Cross multiply
    97,225.31x = 149,986.69 × 149,986.69
  4. Step 4: Simplify right side
    97,225.31x = 22,496,006,427.22
  5. Step 5: Solve for x
    x = 22,496,006,427.22/97,225.31
  6. Step 6: Final answer
    x = 231,380.14

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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.