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Finding the Third Proportional to 165,929,382 and 239,027,769

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Solution

The third proportional to 165,929,382 and 239,027,769 is: 344,328,856.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,929,382 : 239,027,769 = 239,027,769 : x
  2. Step 2: Convert to fraction form
    165,929,382/239,027,769 = 239,027,769/x
  3. Step 3: Cross multiply
    165,929,382x = 239,027,769 × 239,027,769
  4. Step 4: Simplify right side
    165,929,382x = 57,134,274,353,117,360
  5. Step 5: Solve for x
    x = 57,134,274,353,117,360/165,929,382
  6. Step 6: Final answer
    x = 344,328,856.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.