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Finding the Third Proportional to 91,944 and 201,114

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Solution

The third proportional to 91,944 and 201,114 is: 439,907.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,944 : 201,114 = 201,114 : x
  2. Step 2: Convert to fraction form
    91,944/201,114 = 201,114/x
  3. Step 3: Cross multiply
    91,944x = 201,114 × 201,114
  4. Step 4: Simplify right side
    91,944x = 40,446,840,996
  5. Step 5: Solve for x
    x = 40,446,840,996/91,944
  6. Step 6: Final answer
    x = 439,907.35

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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.