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Finding the Third Proportional to 81,914,922 and 175,986,216

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Solution

The third proportional to 81,914,922 and 175,986,216 is: 378,089,210.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,914,922 : 175,986,216 = 175,986,216 : x
  2. Step 2: Convert to fraction form
    81,914,922/175,986,216 = 175,986,216/x
  3. Step 3: Cross multiply
    81,914,922x = 175,986,216 × 175,986,216
  4. Step 4: Simplify right side
    81,914,922x = 30,971,148,221,998,656
  5. Step 5: Solve for x
    x = 30,971,148,221,998,656/81,914,922
  6. Step 6: Final answer
    x = 378,089,210.93

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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.