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Finding the Third Proportional to 92,838,977,682 and 139,356,729,867

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Solution

The third proportional to 92,838,977,682 and 139,356,729,867 is: 209,182,593,821.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,838,977,682 : 139,356,729,867 = 139,356,729,867 : x
  2. Step 2: Convert to fraction form
    92,838,977,682/139,356,729,867 = 139,356,729,867/x
  3. Step 3: Cross multiply
    92,838,977,682x = 139,356,729,867 × 139,356,729,867
  4. Step 4: Simplify right side
    92,838,977,682x = 19,420,298,159,224,008,998,912
  5. Step 5: Solve for x
    x = 19,420,298,159,224,008,998,912/92,838,977,682
  6. Step 6: Final answer
    x = 209,182,593,821.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.