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Finding the Third Proportional to 136,275,375,585 and 298,197,030,944.25

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Solution

The third proportional to 136,275,375,585 and 298,197,030,944.25 is: 652,513,110,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,275,375,585 : 298,197,030,944.25 = 298,197,030,944.25 : x
  2. Step 2: Convert to fraction form
    136,275,375,585/298,197,030,944.25 = 298,197,030,944.25/x
  3. Step 3: Cross multiply
    136,275,375,585x = 298,197,030,944.25 × 298,197,030,944.25
  4. Step 4: Simplify right side
    136,275,375,585x = 88,921,469,263,965,998,546,944
  5. Step 5: Solve for x
    x = 88,921,469,263,965,998,546,944/136,275,375,585
  6. Step 6: Final answer
    x = 652,513,110,914.18

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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.