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Finding the Third Proportional to 118,382,385,976 and 171,042,104,432

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Solution

The third proportional to 118,382,385,976 and 171,042,104,432 is: 247,126,303,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,382,385,976 : 171,042,104,432 = 171,042,104,432 : x
  2. Step 2: Convert to fraction form
    118,382,385,976/171,042,104,432 = 171,042,104,432/x
  3. Step 3: Cross multiply
    118,382,385,976x = 171,042,104,432 × 171,042,104,432
  4. Step 4: Simplify right side
    118,382,385,976x = 29,255,401,488,527,193,538,560
  5. Step 5: Solve for x
    x = 29,255,401,488,527,193,538,560/118,382,385,976
  6. Step 6: Final answer
    x = 247,126,303,861.27

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