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Finding the Third Proportional to 47,071.13 and 98,992.13

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Solution

The third proportional to 47,071.13 and 98,992.13 is: 208,183.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,071.13 : 98,992.13 = 98,992.13 : x
  2. Step 2: Convert to fraction form
    47,071.13/98,992.13 = 98,992.13/x
  3. Step 3: Cross multiply
    47,071.13x = 98,992.13 × 98,992.13
  4. Step 4: Simplify right side
    47,071.13x = 9,799,440,812.02
  5. Step 5: Solve for x
    x = 9,799,440,812.02/47,071.13
  6. Step 6: Final answer
    x = 208,183.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.