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Finding the Third Proportional to 44,971 and 98,690

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Solution

The third proportional to 44,971 and 98,690 is: 216,577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,971 : 98,690 = 98,690 : x
  2. Step 2: Convert to fraction form
    44,971/98,690 = 98,690/x
  3. Step 3: Cross multiply
    44,971x = 98,690 × 98,690
  4. Step 4: Simplify right side
    44,971x = 9,739,716,100
  5. Step 5: Solve for x
    x = 9,739,716,100/44,971
  6. Step 6: Final answer
    x = 216,577.71

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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.