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Finding the Third Proportional to 160,064,727 and 344,396,406

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Solution

The third proportional to 160,064,727 and 344,396,406 is: 741,005,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,727 : 344,396,406 = 344,396,406 : x
  2. Step 2: Convert to fraction form
    160,064,727/344,396,406 = 344,396,406/x
  3. Step 3: Cross multiply
    160,064,727x = 344,396,406 × 344,396,406
  4. Step 4: Simplify right side
    160,064,727x = 118,608,884,465,716,832
  5. Step 5: Solve for x
    x = 118,608,884,465,716,832/160,064,727
  6. Step 6: Final answer
    x = 741,005,758.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.