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Finding the Third Proportional to 83,805,354 and 183,193,812

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Solution

The third proportional to 83,805,354 and 183,193,812 is: 400,451,416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,805,354 : 183,193,812 = 183,193,812 : x
  2. Step 2: Convert to fraction form
    83,805,354/183,193,812 = 183,193,812/x
  3. Step 3: Cross multiply
    83,805,354x = 183,193,812 × 183,193,812
  4. Step 4: Simplify right side
    83,805,354x = 33,559,972,755,091,344
  5. Step 5: Solve for x
    x = 33,559,972,755,091,344/83,805,354
  6. Step 6: Final answer
    x = 400,451,416.92

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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.