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Finding the Third Proportional to 81,913,673.25 and 175,983,738.75

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Solution

The third proportional to 81,913,673.25 and 175,983,738.75 is: 378,084,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,913,673.25 : 175,983,738.75 = 175,983,738.75 : x
  2. Step 2: Convert to fraction form
    81,913,673.25/175,983,738.75 = 175,983,738.75/x
  3. Step 3: Cross multiply
    81,913,673.25x = 175,983,738.75 × 175,983,738.75
  4. Step 4: Simplify right side
    81,913,673.25x = 30,970,276,304,428,252
  5. Step 5: Solve for x
    x = 30,970,276,304,428,252/81,913,673.25
  6. Step 6: Final answer
    x = 378,084,330.44

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Why These Related Problems?

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