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Finding the Third Proportional to 69,068,340 and 148,588,353

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Solution

The third proportional to 69,068,340 and 148,588,353 is: 319,661,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,068,340 : 148,588,353 = 148,588,353 : x
  2. Step 2: Convert to fraction form
    69,068,340/148,588,353 = 148,588,353/x
  3. Step 3: Cross multiply
    69,068,340x = 148,588,353 × 148,588,353
  4. Step 4: Simplify right side
    69,068,340x = 22,078,498,647,252,608
  5. Step 5: Solve for x
    x = 22,078,498,647,252,608/69,068,340
  6. Step 6: Final answer
    x = 319,661,637.26

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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.