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Finding the Third Proportional to 131,777,598,068 and 185,571,896,202

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Solution

The third proportional to 131,777,598,068 and 185,571,896,202 is: 261,326,121,927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,777,598,068 : 185,571,896,202 = 185,571,896,202 : x
  2. Step 2: Convert to fraction form
    131,777,598,068/185,571,896,202 = 185,571,896,202/x
  3. Step 3: Cross multiply
    131,777,598,068x = 185,571,896,202 × 185,571,896,202
  4. Step 4: Simplify right side
    131,777,598,068x = 34,436,928,660,005,860,671,488
  5. Step 5: Solve for x
    x = 34,436,928,660,005,860,671,488/131,777,598,068
  6. Step 6: Final answer
    x = 261,326,121,927.31

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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.