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Finding the Third Proportional to 75,717,690 and 164,701,831

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Solution

The third proportional to 75,717,690 and 164,701,831 is: 358,260,970.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,690 : 164,701,831 = 164,701,831 : x
  2. Step 2: Convert to fraction form
    75,717,690/164,701,831 = 164,701,831/x
  3. Step 3: Cross multiply
    75,717,690x = 164,701,831 × 164,701,831
  4. Step 4: Simplify right side
    75,717,690x = 27,126,693,134,752,560
  5. Step 5: Solve for x
    x = 27,126,693,134,752,560/75,717,690
  6. Step 6: Final answer
    x = 358,260,970.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.