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Finding the Third Proportional to 44,145.84 and 96,543.84

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Solution

The third proportional to 44,145.84 and 96,543.84 is: 211,134.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,145.84 : 96,543.84 = 96,543.84 : x
  2. Step 2: Convert to fraction form
    44,145.84/96,543.84 = 96,543.84/x
  3. Step 3: Cross multiply
    44,145.84x = 96,543.84 × 96,543.84
  4. Step 4: Simplify right side
    44,145.84x = 9,320,713,766.02
  5. Step 5: Solve for x
    x = 9,320,713,766.02/44,145.84
  6. Step 6: Final answer
    x = 211,134.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.