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Finding the Third Proportional to 97,228.50 and 149,991

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Solution

The third proportional to 97,228.50 and 149,991 is: 231,385.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,228.50 : 149,991 = 149,991 : x
  2. Step 2: Convert to fraction form
    97,228.50/149,991 = 149,991/x
  3. Step 3: Cross multiply
    97,228.50x = 149,991 × 149,991
  4. Step 4: Simplify right side
    97,228.50x = 22,497,300,081
  5. Step 5: Solve for x
    x = 22,497,300,081/97,228.50
  6. Step 6: Final answer
    x = 231,385.86

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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.