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Finding the Third Proportional to 45,867.88 and 92,968.13

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Solution

The third proportional to 45,867.88 and 92,968.13 is: 188,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,867.88 : 92,968.13 = 92,968.13 : x
  2. Step 2: Convert to fraction form
    45,867.88/92,968.13 = 92,968.13/x
  3. Step 3: Cross multiply
    45,867.88x = 92,968.13 × 92,968.13
  4. Step 4: Simplify right side
    45,867.88x = 8,643,072,266.02
  5. Step 5: Solve for x
    x = 8,643,072,266.02/45,867.88
  6. Step 6: Final answer
    x = 188,434.11

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.