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Finding the Third Proportional to 160,064,730 and 344,396,412

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Solution

The third proportional to 160,064,730 and 344,396,412 is: 741,005,770.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,730 : 344,396,412 = 344,396,412 : x
  2. Step 2: Convert to fraction form
    160,064,730/344,396,412 = 344,396,412/x
  3. Step 3: Cross multiply
    160,064,730x = 344,396,412 × 344,396,412
  4. Step 4: Simplify right side
    160,064,730x = 118,608,888,598,473,744
  5. Step 5: Solve for x
    x = 118,608,888,598,473,744/160,064,730
  6. Step 6: Final answer
    x = 741,005,770.59

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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.