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Finding the Third Proportional to 120,131,875,677 and 163,599,109,596

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Solution

The third proportional to 120,131,875,677 and 163,599,109,596 is: 222,794,062,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,131,875,677 : 163,599,109,596 = 163,599,109,596 : x
  2. Step 2: Convert to fraction form
    120,131,875,677/163,599,109,596 = 163,599,109,596/x
  3. Step 3: Cross multiply
    120,131,875,677x = 163,599,109,596 × 163,599,109,596
  4. Step 4: Simplify right side
    120,131,875,677x = 26,764,668,660,604,018,360,320
  5. Step 5: Solve for x
    x = 26,764,668,660,604,018,360,320/120,131,875,677
  6. Step 6: Final answer
    x = 222,794,062,856.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.