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Finding the Third Proportional to 68,228,752 and 147,794,912

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Solution

The third proportional to 68,228,752 and 147,794,912 is: 320,148,549.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,228,752 : 147,794,912 = 147,794,912 : x
  2. Step 2: Convert to fraction form
    68,228,752/147,794,912 = 147,794,912/x
  3. Step 3: Cross multiply
    68,228,752x = 147,794,912 × 147,794,912
  4. Step 4: Simplify right side
    68,228,752x = 21,843,336,013,087,744
  5. Step 5: Solve for x
    x = 21,843,336,013,087,744/68,228,752
  6. Step 6: Final answer
    x = 320,148,549.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.