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Finding the Third Proportional to 185,508,795 and 402,982,782

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Solution

The third proportional to 185,508,795 and 402,982,782 is: 875,403,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,508,795 : 402,982,782 = 402,982,782 : x
  2. Step 2: Convert to fraction form
    185,508,795/402,982,782 = 402,982,782/x
  3. Step 3: Cross multiply
    185,508,795x = 402,982,782 × 402,982,782
  4. Step 4: Simplify right side
    185,508,795x = 162,395,122,588,459,520
  5. Step 5: Solve for x
    x = 162,395,122,588,459,520/185,508,795
  6. Step 6: Final answer
    x = 875,403,899.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.