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Finding the Third Proportional to 43,468 and 92,266.75

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Solution

The third proportional to 43,468 and 92,266.75 is: 195,848.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,468 : 92,266.75 = 92,266.75 : x
  2. Step 2: Convert to fraction form
    43,468/92,266.75 = 92,266.75/x
  3. Step 3: Cross multiply
    43,468x = 92,266.75 × 92,266.75
  4. Step 4: Simplify right side
    43,468x = 8,513,153,155.56
  5. Step 5: Solve for x
    x = 8,513,153,155.56/43,468
  6. Step 6: Final answer
    x = 195,848.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.