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Finding the Third Proportional to 44,484 and 97,720

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Solution

The third proportional to 44,484 and 97,720 is: 214,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,484 : 97,720 = 97,720 : x
  2. Step 2: Convert to fraction form
    44,484/97,720 = 97,720/x
  3. Step 3: Cross multiply
    44,484x = 97,720 × 97,720
  4. Step 4: Simplify right side
    44,484x = 9,549,198,400
  5. Step 5: Solve for x
    x = 9,549,198,400/44,484
  6. Step 6: Final answer
    x = 214,665.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.