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Finding the Third Proportional to 44,312 and 96,400

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Solution

The third proportional to 44,312 and 96,400 is: 209,716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,312 : 96,400 = 96,400 : x
  2. Step 2: Convert to fraction form
    44,312/96,400 = 96,400/x
  3. Step 3: Cross multiply
    44,312x = 96,400 × 96,400
  4. Step 4: Simplify right side
    44,312x = 9,292,960,000
  5. Step 5: Solve for x
    x = 9,292,960,000/44,312
  6. Step 6: Final answer
    x = 209,716.56

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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.