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Finding the Third Proportional to 136,275,375,596 and 298,197,030,970

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Solution

The third proportional to 136,275,375,596 and 298,197,030,970 is: 652,513,110,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275,375,596 : 298,197,030,970 = 298,197,030,970 : x
  2. Step 2: Convert to fraction form
    136,275,375,596/298,197,030,970 = 298,197,030,970/x
  3. Step 3: Cross multiply
    136,275,375,596x = 298,197,030,970 × 298,197,030,970
  4. Step 4: Simplify right side
    136,275,375,596x = 88,921,469,279,323,140,653,056
  5. Step 5: Solve for x
    x = 88,921,469,279,323,140,653,056/136,275,375,596
  6. Step 6: Final answer
    x = 652,513,110,974.20

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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.