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Finding the Third Proportional to 107,823,156 and 154,188,369

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Solution

The third proportional to 107,823,156 and 154,188,369 is: 220,491,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,823,156 : 154,188,369 = 154,188,369 : x
  2. Step 2: Convert to fraction form
    107,823,156/154,188,369 = 154,188,369/x
  3. Step 3: Cross multiply
    107,823,156x = 154,188,369 × 154,188,369
  4. Step 4: Simplify right side
    107,823,156x = 23,774,053,134,880,160
  5. Step 5: Solve for x
    x = 23,774,053,134,880,160/107,823,156
  6. Step 6: Final answer
    x = 220,491,163.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.