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Finding the Third Proportional to 185,498,802 and 282,600,102

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Solution

The third proportional to 185,498,802 and 282,600,102 is: 430,530,099.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,498,802 : 282,600,102 = 282,600,102 : x
  2. Step 2: Convert to fraction form
    185,498,802/282,600,102 = 282,600,102/x
  3. Step 3: Cross multiply
    185,498,802x = 282,600,102 × 282,600,102
  4. Step 4: Simplify right side
    185,498,802x = 79,862,817,650,410,400
  5. Step 5: Solve for x
    x = 79,862,817,650,410,400/185,498,802
  6. Step 6: Final answer
    x = 430,530,099.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.