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Finding the Third Proportional to 192,767,391 and 293,669,442

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Solution

The third proportional to 192,767,391 and 293,669,442 is: 447,387,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,767,391 : 293,669,442 = 293,669,442 : x
  2. Step 2: Convert to fraction form
    192,767,391/293,669,442 = 293,669,442/x
  3. Step 3: Cross multiply
    192,767,391x = 293,669,442 × 293,669,442
  4. Step 4: Simplify right side
    192,767,391x = 86,241,741,164,591,360
  5. Step 5: Solve for x
    x = 86,241,741,164,591,360/192,767,391
  6. Step 6: Final answer
    x = 447,387,603.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.