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Finding the Third Proportional to 45,407.25 and 96,009.75

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Solution

The third proportional to 45,407.25 and 96,009.75 is: 203,004.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,407.25 : 96,009.75 = 96,009.75 : x
  2. Step 2: Convert to fraction form
    45,407.25/96,009.75 = 96,009.75/x
  3. Step 3: Cross multiply
    45,407.25x = 96,009.75 × 96,009.75
  4. Step 4: Simplify right side
    45,407.25x = 9,217,872,095.06
  5. Step 5: Solve for x
    x = 9,217,872,095.06/45,407.25
  6. Step 6: Final answer
    x = 203,004.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.