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Finding the Third Proportional to 91,464.19 and 200,151

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Solution

The third proportional to 91,464.19 and 200,151 is: 437,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,464.19 : 200,151 = 200,151 : x
  2. Step 2: Convert to fraction form
    91,464.19/200,151 = 200,151/x
  3. Step 3: Cross multiply
    91,464.19x = 200,151 × 200,151
  4. Step 4: Simplify right side
    91,464.19x = 40,060,422,801
  5. Step 5: Solve for x
    x = 40,060,422,801/91,464.19
  6. Step 6: Final answer
    x = 437,990.25

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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.