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Finding the Third Proportional to 138,827,424,652 and 195,499,605,876

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Solution

The third proportional to 138,827,424,652 and 195,499,605,876 is: 275,306,525,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827,424,652 : 195,499,605,876 = 195,499,605,876 : x
  2. Step 2: Convert to fraction form
    138,827,424,652/195,499,605,876 = 195,499,605,876/x
  3. Step 3: Cross multiply
    138,827,424,652x = 195,499,605,876 × 195,499,605,876
  4. Step 4: Simplify right side
    138,827,424,652x = 38,220,095,897,671,336,722,432
  5. Step 5: Solve for x
    x = 38,220,095,897,671,336,722,432/138,827,424,652
  6. Step 6: Final answer
    x = 275,306,525,302.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.