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Finding the Third Proportional to 91,946 and 201,118

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Solution

The third proportional to 91,946 and 201,118 is: 439,915.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,946 : 201,118 = 201,118 : x
  2. Step 2: Convert to fraction form
    91,946/201,118 = 201,118/x
  3. Step 3: Cross multiply
    91,946x = 201,118 × 201,118
  4. Step 4: Simplify right side
    91,946x = 40,448,449,924
  5. Step 5: Solve for x
    x = 40,448,449,924/91,946
  6. Step 6: Final answer
    x = 439,915.28

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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.