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Finding the Third Proportional to 83,035,273.88 and 178,393,249.13

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Solution

The third proportional to 83,035,273.88 and 178,393,249.13 is: 383,260,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,035,273.88 : 178,393,249.13 = 178,393,249.13 : x
  2. Step 2: Convert to fraction form
    83,035,273.88/178,393,249.13 = 178,393,249.13/x
  3. Step 3: Cross multiply
    83,035,273.88x = 178,393,249.13 × 178,393,249.13
  4. Step 4: Simplify right side
    83,035,273.88x = 31,824,151,333,374,312
  5. Step 5: Solve for x
    x = 31,824,151,333,374,312/83,035,273.88
  6. Step 6: Final answer
    x = 383,260,629.47

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.