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Finding the Third Proportional to 177,391,954 and 265,364,603

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Solution

The third proportional to 177,391,954 and 265,364,603 is: 396,964,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,391,954 : 265,364,603 = 265,364,603 : x
  2. Step 2: Convert to fraction form
    177,391,954/265,364,603 = 265,364,603/x
  3. Step 3: Cross multiply
    177,391,954x = 265,364,603 × 265,364,603
  4. Step 4: Simplify right side
    177,391,954x = 70,418,372,525,347,608
  5. Step 5: Solve for x
    x = 70,418,372,525,347,608/177,391,954
  6. Step 6: Final answer
    x = 396,964,861.92

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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.