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Finding the Third Proportional to 144,063,511 and 315,449,293

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Solution

The third proportional to 144,063,511 and 315,449,293 is: 690,724,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,063,511 : 315,449,293 = 315,449,293 : x
  2. Step 2: Convert to fraction form
    144,063,511/315,449,293 = 315,449,293/x
  3. Step 3: Cross multiply
    144,063,511x = 315,449,293 × 315,449,293
  4. Step 4: Simplify right side
    144,063,511x = 99,508,256,454,199,856
  5. Step 5: Solve for x
    x = 99,508,256,454,199,856/144,063,511
  6. Step 6: Final answer
    x = 690,724,915.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.