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Finding the Third Proportional to 158,227,216 and 328,581,344

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Solution

The third proportional to 158,227,216 and 328,581,344 is: 682,345,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,227,216 : 328,581,344 = 328,581,344 : x
  2. Step 2: Convert to fraction form
    158,227,216/328,581,344 = 328,581,344/x
  3. Step 3: Cross multiply
    158,227,216x = 328,581,344 × 328,581,344
  4. Step 4: Simplify right side
    158,227,216x = 107,965,699,624,846,336
  5. Step 5: Solve for x
    x = 107,965,699,624,846,336/158,227,216
  6. Step 6: Final answer
    x = 682,345,947.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.