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Finding the Third Proportional to 44,947 and 98,534

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Solution

The third proportional to 44,947 and 98,534 is: 216,008.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,947 : 98,534 = 98,534 : x
  2. Step 2: Convert to fraction form
    44,947/98,534 = 98,534/x
  3. Step 3: Cross multiply
    44,947x = 98,534 × 98,534
  4. Step 4: Simplify right side
    44,947x = 9,708,949,156
  5. Step 5: Solve for x
    x = 9,708,949,156/44,947
  6. Step 6: Final answer
    x = 216,008.84

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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.