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Finding the Third Proportional to 45,878.75 and 101,070.38

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Solution

The third proportional to 45,878.75 and 101,070.38 is: 222,656.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,878.75 : 101,070.38 = 101,070.38 : x
  2. Step 2: Convert to fraction form
    45,878.75/101,070.38 = 101,070.38/x
  3. Step 3: Cross multiply
    45,878.75x = 101,070.38 × 101,070.38
  4. Step 4: Simplify right side
    45,878.75x = 10,215,220,702.64
  5. Step 5: Solve for x
    x = 10,215,220,702.64/45,878.75
  6. Step 6: Final answer
    x = 222,656.91

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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.