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Finding the Third Proportional to 68,158,416 and 102,947,256

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Solution

The third proportional to 68,158,416 and 102,947,256 is: 155,492,720.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,158,416 : 102,947,256 = 102,947,256 : x
  2. Step 2: Convert to fraction form
    68,158,416/102,947,256 = 102,947,256/x
  3. Step 3: Cross multiply
    68,158,416x = 102,947,256 × 102,947,256
  4. Step 4: Simplify right side
    68,158,416x = 10,598,137,517,929,536
  5. Step 5: Solve for x
    x = 10,598,137,517,929,536/68,158,416
  6. Step 6: Final answer
    x = 155,492,720.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.