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Finding the Third Proportional to 91,750.41 and 201,543.47

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Solution

The third proportional to 91,750.41 and 201,543.47 is: 442,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,750.41 : 201,543.47 = 201,543.47 : x
  2. Step 2: Convert to fraction form
    91,750.41/201,543.47 = 201,543.47/x
  3. Step 3: Cross multiply
    91,750.41x = 201,543.47 × 201,543.47
  4. Step 4: Simplify right side
    91,750.41x = 40,619,769,795.78
  5. Step 5: Solve for x
    x = 40,619,769,795.78/91,750.41
  6. Step 6: Final answer
    x = 442,720.33

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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.