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Finding the Third Proportional to 68,874,116 and 149,854,600

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Solution

The third proportional to 68,874,116 and 149,854,600 is: 326,049,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,874,116 : 149,854,600 = 149,854,600 : x
  2. Step 2: Convert to fraction form
    68,874,116/149,854,600 = 149,854,600/x
  3. Step 3: Cross multiply
    68,874,116x = 149,854,600 × 149,854,600
  4. Step 4: Simplify right side
    68,874,116x = 22,456,401,141,160,000
  5. Step 5: Solve for x
    x = 22,456,401,141,160,000/68,874,116
  6. Step 6: Final answer
    x = 326,049,936.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.