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Finding the Third Proportional to 181,749,069 and 391,211,802

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Solution

The third proportional to 181,749,069 and 391,211,802 is: 842,076,797.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,749,069 : 391,211,802 = 391,211,802 : x
  2. Step 2: Convert to fraction form
    181,749,069/391,211,802 = 391,211,802/x
  3. Step 3: Cross multiply
    181,749,069x = 391,211,802 × 391,211,802
  4. Step 4: Simplify right side
    181,749,069x = 153,046,674,024,087,200
  5. Step 5: Solve for x
    x = 153,046,674,024,087,200/181,749,069
  6. Step 6: Final answer
    x = 842,076,797.79

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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.