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Finding the Third Proportional to 95,085,180 and 142,854,894

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Solution

The third proportional to 95,085,180 and 142,854,894 is: 214,623,569.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,085,180 : 142,854,894 = 142,854,894 : x
  2. Step 2: Convert to fraction form
    95,085,180/142,854,894 = 142,854,894/x
  3. Step 3: Cross multiply
    95,085,180x = 142,854,894 × 142,854,894
  4. Step 4: Simplify right side
    95,085,180x = 20,407,520,739,751,236
  5. Step 5: Solve for x
    x = 20,407,520,739,751,236/95,085,180
  6. Step 6: Final answer
    x = 214,623,569.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.