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Finding the Third Proportional to 73,069,863 and 159,002,965.50

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Solution

The third proportional to 73,069,863 and 159,002,965.50 is: 345,996,858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,069,863 : 159,002,965.50 = 159,002,965.50 : x
  2. Step 2: Convert to fraction form
    73,069,863/159,002,965.50 = 159,002,965.50/x
  3. Step 3: Cross multiply
    73,069,863x = 159,002,965.50 × 159,002,965.50
  4. Step 4: Simplify right side
    73,069,863x = 25,281,943,037,794,192
  5. Step 5: Solve for x
    x = 25,281,943,037,794,192/73,069,863
  6. Step 6: Final answer
    x = 345,996,858.35

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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.