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Finding the Third Proportional to 45,320.44 and 99,702.75

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Solution

The third proportional to 45,320.44 and 99,702.75 is: 219,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,320.44 : 99,702.75 = 99,702.75 : x
  2. Step 2: Convert to fraction form
    45,320.44/99,702.75 = 99,702.75/x
  3. Step 3: Cross multiply
    45,320.44x = 99,702.75 × 99,702.75
  4. Step 4: Simplify right side
    45,320.44x = 9,940,638,357.56
  5. Step 5: Solve for x
    x = 9,940,638,357.56/45,320.44
  6. Step 6: Final answer
    x = 219,341.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.