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Finding the Third Proportional to 140,396,960 and 313,056,776

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Solution

The third proportional to 140,396,960 and 313,056,776 is: 698,053,184.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,396,960 : 313,056,776 = 313,056,776 : x
  2. Step 2: Convert to fraction form
    140,396,960/313,056,776 = 313,056,776/x
  3. Step 3: Cross multiply
    140,396,960x = 313,056,776 × 313,056,776
  4. Step 4: Simplify right side
    140,396,960x = 98,004,544,999,514,176
  5. Step 5: Solve for x
    x = 98,004,544,999,514,176/140,396,960
  6. Step 6: Final answer
    x = 698,053,184.34

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.