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Finding the Third Proportional to 127,398,782,398.50 and 190,911,814,917

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Solution

The third proportional to 127,398,782,398.50 and 190,911,814,917 is: 286,088,456,959.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,398,782,398.50 : 190,911,814,917 = 190,911,814,917 : x
  2. Step 2: Convert to fraction form
    127,398,782,398.50/190,911,814,917 = 190,911,814,917/x
  3. Step 3: Cross multiply
    127,398,782,398.50x = 190,911,814,917 × 190,911,814,917
  4. Step 4: Simplify right side
    127,398,782,398.50x = 36,447,321,074,902,862,135,296
  5. Step 5: Solve for x
    x = 36,447,321,074,902,862,135,296/127,398,782,398.50
  6. Step 6: Final answer
    x = 286,088,456,959.48

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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.