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Finding the Third Proportional to 160,064,704 and 344,396,360

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Solution

The third proportional to 160,064,704 and 344,396,360 is: 741,005,667.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,064,704 : 344,396,360 = 344,396,360 : x
  2. Step 2: Convert to fraction form
    160,064,704/344,396,360 = 344,396,360/x
  3. Step 3: Cross multiply
    160,064,704x = 344,396,360 × 344,396,360
  4. Step 4: Simplify right side
    160,064,704x = 118,608,852,781,249,600
  5. Step 5: Solve for x
    x = 118,608,852,781,249,600/160,064,704
  6. Step 6: Final answer
    x = 741,005,667.19

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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.