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Finding the Third Proportional to 121,599,117,990 and 253,262,921,074.50

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Solution

The third proportional to 121,599,117,990 and 253,262,921,074.50 is: 527,488,260,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,599,117,990 : 253,262,921,074.50 = 253,262,921,074.50 : x
  2. Step 2: Convert to fraction form
    121,599,117,990/253,262,921,074.50 = 253,262,921,074.50/x
  3. Step 3: Cross multiply
    121,599,117,990x = 253,262,921,074.50 × 253,262,921,074.50
  4. Step 4: Simplify right side
    121,599,117,990x = 64,142,107,191,188,415,053,824
  5. Step 5: Solve for x
    x = 64,142,107,191,188,415,053,824/121,599,117,990
  6. Step 6: Final answer
    x = 527,488,260,206.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.