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Finding the Third Proportional to 47,746.13 and 100,291.50

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Solution

The third proportional to 47,746.13 and 100,291.50 is: 210,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,746.13 : 100,291.50 = 100,291.50 : x
  2. Step 2: Convert to fraction form
    47,746.13/100,291.50 = 100,291.50/x
  3. Step 3: Cross multiply
    47,746.13x = 100,291.50 × 100,291.50
  4. Step 4: Simplify right side
    47,746.13x = 10,058,384,972.25
  5. Step 5: Solve for x
    x = 10,058,384,972.25/47,746.13
  6. Step 6: Final answer
    x = 210,663.90

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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.