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Finding the Third Proportional to 44,228 and 97,078

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Solution

The third proportional to 44,228 and 97,078 is: 213,080.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,228 : 97,078 = 97,078 : x
  2. Step 2: Convert to fraction form
    44,228/97,078 = 97,078/x
  3. Step 3: Cross multiply
    44,228x = 97,078 × 97,078
  4. Step 4: Simplify right side
    44,228x = 9,424,138,084
  5. Step 5: Solve for x
    x = 9,424,138,084/44,228
  6. Step 6: Final answer
    x = 213,080.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.