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Finding the Third Proportional to 68,522,406 and 147,966,110

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Solution

The third proportional to 68,522,406 and 147,966,110 is: 319,515,483.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,522,406 : 147,966,110 = 147,966,110 : x
  2. Step 2: Convert to fraction form
    68,522,406/147,966,110 = 147,966,110/x
  3. Step 3: Cross multiply
    68,522,406x = 147,966,110 × 147,966,110
  4. Step 4: Simplify right side
    68,522,406x = 21,893,969,708,532,100
  5. Step 5: Solve for x
    x = 21,893,969,708,532,100/68,522,406
  6. Step 6: Final answer
    x = 319,515,483.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.