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Finding the Third Proportional to 83,401,418.25 and 173,705,905.13

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Solution

The third proportional to 83,401,418.25 and 173,705,905.13 is: 361,789,308.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,401,418.25 : 173,705,905.13 = 173,705,905.13 : x
  2. Step 2: Convert to fraction form
    83,401,418.25/173,705,905.13 = 173,705,905.13/x
  3. Step 3: Cross multiply
    83,401,418.25x = 173,705,905.13 × 173,705,905.13
  4. Step 4: Simplify right side
    83,401,418.25x = 30,173,741,475,295,500
  5. Step 5: Solve for x
    x = 30,173,741,475,295,500/83,401,418.25
  6. Step 6: Final answer
    x = 361,789,308.96

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.