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Finding the Third Proportional to 160,064,724 and 344,396,400

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Solution

The third proportional to 160,064,724 and 344,396,400 is: 741,005,746.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,724 : 344,396,400 = 344,396,400 : x
  2. Step 2: Convert to fraction form
    160,064,724/344,396,400 = 344,396,400/x
  3. Step 3: Cross multiply
    160,064,724x = 344,396,400 × 344,396,400
  4. Step 4: Simplify right side
    160,064,724x = 118,608,880,332,960,000
  5. Step 5: Solve for x
    x = 118,608,880,332,960,000/160,064,724
  6. Step 6: Final answer
    x = 741,005,746.73

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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.