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Finding the Third Proportional to 69,115,706 and 148,488,350

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Solution

The third proportional to 69,115,706 and 148,488,350 is: 319,012,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115,706 : 148,488,350 = 148,488,350 : x
  2. Step 2: Convert to fraction form
    69,115,706/148,488,350 = 148,488,350/x
  3. Step 3: Cross multiply
    69,115,706x = 148,488,350 × 148,488,350
  4. Step 4: Simplify right side
    69,115,706x = 22,048,790,085,722,500
  5. Step 5: Solve for x
    x = 22,048,790,085,722,500/69,115,706
  6. Step 6: Final answer
    x = 319,012,730.42

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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.