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Finding the Third Proportional to 97,194.94 and 149,941.13

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Solution

The third proportional to 97,194.94 and 149,941.13 is: 231,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,194.94 : 149,941.13 = 149,941.13 : x
  2. Step 2: Convert to fraction form
    97,194.94/149,941.13 = 149,941.13/x
  3. Step 3: Cross multiply
    97,194.94x = 149,941.13 × 149,941.13
  4. Step 4: Simplify right side
    97,194.94x = 22,482,340,966.27
  5. Step 5: Solve for x
    x = 22,482,340,966.27/97,194.94
  6. Step 6: Final answer
    x = 231,311.85

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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.