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Finding the Third Proportional to 47,496 and 101,348.50

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Solution

The third proportional to 47,496 and 101,348.50 is: 216,260.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496 : 101,348.50 = 101,348.50 : x
  2. Step 2: Convert to fraction form
    47,496/101,348.50 = 101,348.50/x
  3. Step 3: Cross multiply
    47,496x = 101,348.50 × 101,348.50
  4. Step 4: Simplify right side
    47,496x = 10,271,518,452.25
  5. Step 5: Solve for x
    x = 10,271,518,452.25/47,496
  6. Step 6: Final answer
    x = 216,260.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.