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Finding the Third Proportional to 45,856.13 and 99,341.44

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Solution

The third proportional to 45,856.13 and 99,341.44 is: 215,210.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,856.13 : 99,341.44 = 99,341.44 : x
  2. Step 2: Convert to fraction form
    45,856.13/99,341.44 = 99,341.44/x
  3. Step 3: Cross multiply
    45,856.13x = 99,341.44 × 99,341.44
  4. Step 4: Simplify right side
    45,856.13x = 9,868,721,204.57
  5. Step 5: Solve for x
    x = 9,868,721,204.57/45,856.13
  6. Step 6: Final answer
    x = 215,210.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.