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Finding the Third Proportional to 147,581,536 and 322,964,195

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Solution

The third proportional to 147,581,536 and 322,964,195 is: 706,767,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,581,536 : 322,964,195 = 322,964,195 : x
  2. Step 2: Convert to fraction form
    147,581,536/322,964,195 = 322,964,195/x
  3. Step 3: Cross multiply
    147,581,536x = 322,964,195 × 322,964,195
  4. Step 4: Simplify right side
    147,581,536x = 104,305,871,251,998,032
  5. Step 5: Solve for x
    x = 104,305,871,251,998,032/147,581,536
  6. Step 6: Final answer
    x = 706,767,757.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.