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Finding the Third Proportional to 92,414 and 201,412

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Solution

The third proportional to 92,414 and 201,412 is: 438,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,414 : 201,412 = 201,412 : x
  2. Step 2: Convert to fraction form
    92,414/201,412 = 201,412/x
  3. Step 3: Cross multiply
    92,414x = 201,412 × 201,412
  4. Step 4: Simplify right side
    92,414x = 40,566,793,744
  5. Step 5: Solve for x
    x = 40,566,793,744/92,414
  6. Step 6: Final answer
    x = 438,968.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.