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Finding the Third Proportional to 40,828 and 88,946

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Solution

The third proportional to 40,828 and 88,946 is: 193,773.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,828 : 88,946 = 88,946 : x
  2. Step 2: Convert to fraction form
    40,828/88,946 = 88,946/x
  3. Step 3: Cross multiply
    40,828x = 88,946 × 88,946
  4. Step 4: Simplify right side
    40,828x = 7,911,390,916
  5. Step 5: Solve for x
    x = 7,911,390,916/40,828
  6. Step 6: Final answer
    x = 193,773.66

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