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Finding the Third Proportional to 116,659,584 and 255,278,016

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Solution

The third proportional to 116,659,584 and 255,278,016 is: 558,607,044.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,659,584 : 255,278,016 = 255,278,016 : x
  2. Step 2: Convert to fraction form
    116,659,584/255,278,016 = 255,278,016/x
  3. Step 3: Cross multiply
    116,659,584x = 255,278,016 × 255,278,016
  4. Step 4: Simplify right side
    116,659,584x = 65,166,865,452,896,256
  5. Step 5: Solve for x
    x = 65,166,865,452,896,256/116,659,584
  6. Step 6: Final answer
    x = 558,607,044.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.