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Finding the Third Proportional to 177,391,938 and 265,364,579

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Solution

The third proportional to 177,391,938 and 265,364,579 is: 396,964,825.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,391,938 : 265,364,579 = 265,364,579 : x
  2. Step 2: Convert to fraction form
    177,391,938/265,364,579 = 265,364,579/x
  3. Step 3: Cross multiply
    177,391,938x = 265,364,579 × 265,364,579
  4. Step 4: Simplify right side
    177,391,938x = 70,418,359,787,847,240
  5. Step 5: Solve for x
    x = 70,418,359,787,847,240/177,391,938
  6. Step 6: Final answer
    x = 396,964,825.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.