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Finding the Third Proportional to 151,765,202 and 326,548,399

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Solution

The third proportional to 151,765,202 and 326,548,399 is: 702,623,891.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,765,202 : 326,548,399 = 326,548,399 : x
  2. Step 2: Convert to fraction form
    151,765,202/326,548,399 = 326,548,399/x
  3. Step 3: Cross multiply
    151,765,202x = 326,548,399 × 326,548,399
  4. Step 4: Simplify right side
    151,765,202x = 106,633,856,889,463,200
  5. Step 5: Solve for x
    x = 106,633,856,889,463,200/151,765,202
  6. Step 6: Final answer
    x = 702,623,891.93

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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.