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Finding the Third Proportional to 134,752,199,229 and 209,319,780,296.25

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Solution

The third proportional to 134,752,199,229 and 209,319,780,296.25 is: 325,150,688,997.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,752,199,229 : 209,319,780,296.25 = 209,319,780,296.25 : x
  2. Step 2: Convert to fraction form
    134,752,199,229/209,319,780,296.25 = 209,319,780,296.25/x
  3. Step 3: Cross multiply
    134,752,199,229x = 209,319,780,296.25 × 209,319,780,296.25
  4. Step 4: Simplify right side
    134,752,199,229x = 43,814,770,423,270,370,967,552
  5. Step 5: Solve for x
    x = 43,814,770,423,270,370,967,552/134,752,199,229
  6. Step 6: Final answer
    x = 325,150,688,997.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.