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Finding the Third Proportional to 80,168,296.50 and 171,674,001

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Solution

The third proportional to 80,168,296.50 and 171,674,001 is: 367,626,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,168,296.50 : 171,674,001 = 171,674,001 : x
  2. Step 2: Convert to fraction form
    80,168,296.50/171,674,001 = 171,674,001/x
  3. Step 3: Cross multiply
    80,168,296.50x = 171,674,001 × 171,674,001
  4. Step 4: Simplify right side
    80,168,296.50x = 29,471,962,619,348,000
  5. Step 5: Solve for x
    x = 29,471,962,619,348,000/80,168,296.50
  6. Step 6: Final answer
    x = 367,626,155.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.