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Finding the Third Proportional to 68,491,464 and 100,279,968

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Solution

The third proportional to 68,491,464 and 100,279,968 is: 146,822,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,491,464 : 100,279,968 = 100,279,968 : x
  2. Step 2: Convert to fraction form
    68,491,464/100,279,968 = 100,279,968/x
  3. Step 3: Cross multiply
    68,491,464x = 100,279,968 × 100,279,968
  4. Step 4: Simplify right side
    68,491,464x = 10,056,071,982,081,024
  5. Step 5: Solve for x
    x = 10,056,071,982,081,024/68,491,464
  6. Step 6: Final answer
    x = 146,822,266.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.