Home / 138,827,424,649.50-195,499,605,873.38

Finding the Third Proportional to 138,827,424,649.50 and 195,499,605,873.38

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Solution

The third proportional to 138,827,424,649.50 and 195,499,605,873.38 is: 275,306,525,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,827,424,649.50 : 195,499,605,873.38 = 195,499,605,873.38 : x
  2. Step 2: Convert to fraction form
    138,827,424,649.50/195,499,605,873.38 = 195,499,605,873.38/x
  3. Step 3: Cross multiply
    138,827,424,649.50x = 195,499,605,873.38 × 195,499,605,873.38
  4. Step 4: Simplify right side
    138,827,424,649.50x = 38,220,095,896,646,919,913,472
  5. Step 5: Solve for x
    x = 38,220,095,896,646,919,913,472/138,827,424,649.50
  6. Step 6: Final answer
    x = 275,306,525,300.33

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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.