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Finding the Third Proportional to 136,275,375,588 and 298,197,030,954

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Solution

The third proportional to 136,275,375,588 and 298,197,030,954 is: 652,513,110,942.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275,375,588 : 298,197,030,954 = 298,197,030,954 : x
  2. Step 2: Convert to fraction form
    136,275,375,588/298,197,030,954 = 298,197,030,954/x
  3. Step 3: Cross multiply
    136,275,375,588x = 298,197,030,954 × 298,197,030,954
  4. Step 4: Simplify right side
    136,275,375,588x = 88,921,469,269,780,830,617,600
  5. Step 5: Solve for x
    x = 88,921,469,269,780,830,617,600/136,275,375,588
  6. Step 6: Final answer
    x = 652,513,110,942.48

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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.