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Finding the Third Proportional to 197,584,288,863 and 266,587,597,389

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Solution

The third proportional to 197,584,288,863 and 266,587,597,389 is: 359,689,262,190.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584,288,863 : 266,587,597,389 = 266,587,597,389 : x
  2. Step 2: Convert to fraction form
    197,584,288,863/266,587,597,389 = 266,587,597,389/x
  3. Step 3: Cross multiply
    197,584,288,863x = 266,587,597,389 × 266,587,597,389
  4. Step 4: Simplify right side
    197,584,288,863x = 71,068,947,081,639,556,546,560
  5. Step 5: Solve for x
    x = 71,068,947,081,639,556,546,560/197,584,288,863
  6. Step 6: Final answer
    x = 359,689,262,190.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.