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Finding the Third Proportional to 44,380 and 96,597

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Solution

The third proportional to 44,380 and 96,597 is: 210,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,380 : 96,597 = 96,597 : x
  2. Step 2: Convert to fraction form
    44,380/96,597 = 96,597/x
  3. Step 3: Cross multiply
    44,380x = 96,597 × 96,597
  4. Step 4: Simplify right side
    44,380x = 9,330,980,409
  5. Step 5: Solve for x
    x = 9,330,980,409/44,380
  6. Step 6: Final answer
    x = 210,251.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.