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Finding the Third Proportional to 73,069,861.31 and 159,002,962.31

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Solution

The third proportional to 73,069,861.31 and 159,002,962.31 is: 345,996,852.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,069,861.31 : 159,002,962.31 = 159,002,962.31 : x
  2. Step 2: Convert to fraction form
    73,069,861.31/159,002,962.31 = 159,002,962.31/x
  3. Step 3: Cross multiply
    73,069,861.31x = 159,002,962.31 × 159,002,962.31
  4. Step 4: Simplify right side
    73,069,861.31x = 25,281,942,024,150,296
  5. Step 5: Solve for x
    x = 25,281,942,024,150,296/73,069,861.31
  6. Step 6: Final answer
    x = 345,996,852.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.