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Finding the Third Proportional to 44,720 and 98,368

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Solution

The third proportional to 44,720 and 98,368 is: 216,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,720 : 98,368 = 98,368 : x
  2. Step 2: Convert to fraction form
    44,720/98,368 = 98,368/x
  3. Step 3: Cross multiply
    44,720x = 98,368 × 98,368
  4. Step 4: Simplify right side
    44,720x = 9,676,263,424
  5. Step 5: Solve for x
    x = 9,676,263,424/44,720
  6. Step 6: Final answer
    x = 216,374.41

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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.