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Finding the Third Proportional to 65,897,340.75 and 137,248,965

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Solution

The third proportional to 65,897,340.75 and 137,248,965 is: 285,857,944.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,897,340.75 : 137,248,965 = 137,248,965 : x
  2. Step 2: Convert to fraction form
    65,897,340.75/137,248,965 = 137,248,965/x
  3. Step 3: Cross multiply
    65,897,340.75x = 137,248,965 × 137,248,965
  4. Step 4: Simplify right side
    65,897,340.75x = 18,837,278,393,571,224
  5. Step 5: Solve for x
    x = 18,837,278,393,571,224/65,897,340.75
  6. Step 6: Final answer
    x = 285,857,944.78

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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.