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Finding the Third Proportional to 136,275,375,576 and 298,197,030,930

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Solution

The third proportional to 136,275,375,576 and 298,197,030,930 is: 652,513,110,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275,375,576 : 298,197,030,930 = 298,197,030,930 : x
  2. Step 2: Convert to fraction form
    136,275,375,576/298,197,030,930 = 298,197,030,930/x
  3. Step 3: Cross multiply
    136,275,375,576x = 298,197,030,930 × 298,197,030,930
  4. Step 4: Simplify right side
    136,275,375,576x = 88,921,469,255,467,382,341,632
  5. Step 5: Solve for x
    x = 88,921,469,255,467,382,341,632/136,275,375,576
  6. Step 6: Final answer
    x = 652,513,110,894.91

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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.