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Finding the Third Proportional to 131,777,598,066 and 185,571,896,199

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Solution

The third proportional to 131,777,598,066 and 185,571,896,199 is: 261,326,121,922.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,777,598,066 : 185,571,896,199 = 185,571,896,199 : x
  2. Step 2: Convert to fraction form
    131,777,598,066/185,571,896,199 = 185,571,896,199/x
  3. Step 3: Cross multiply
    131,777,598,066x = 185,571,896,199 × 185,571,896,199
  4. Step 4: Simplify right side
    131,777,598,066x = 34,436,928,658,892,432,343,040
  5. Step 5: Solve for x
    x = 34,436,928,658,892,432,343,040/131,777,598,066
  6. Step 6: Final answer
    x = 261,326,121,922.82

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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.