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Finding the Third Proportional to 250,023,101 and 538,447,556

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Solution

The third proportional to 250,023,101 and 538,447,556 is: 1,159,595,930.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,023,101 : 538,447,556 = 538,447,556 : x
  2. Step 2: Convert to fraction form
    250,023,101/538,447,556 = 538,447,556/x
  3. Step 3: Cross multiply
    250,023,101x = 538,447,556 × 538,447,556
  4. Step 4: Simplify right side
    250,023,101x = 289,925,770,562,373,120
  5. Step 5: Solve for x
    x = 289,925,770,562,373,120/250,023,101
  6. Step 6: Final answer
    x = 1,159,595,930.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.