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Finding the Third Proportional to 44,116 and 97,448

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Solution

The third proportional to 44,116 and 97,448 is: 215,253.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,116 : 97,448 = 97,448 : x
  2. Step 2: Convert to fraction form
    44,116/97,448 = 97,448/x
  3. Step 3: Cross multiply
    44,116x = 97,448 × 97,448
  4. Step 4: Simplify right side
    44,116x = 9,496,112,704
  5. Step 5: Solve for x
    x = 9,496,112,704/44,116
  6. Step 6: Final answer
    x = 215,253.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.