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Finding the Third Proportional to 73,177,164 and 159,108,426

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Solution

The third proportional to 73,177,164 and 159,108,426 is: 345,947,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177,164 : 159,108,426 = 159,108,426 : x
  2. Step 2: Convert to fraction form
    73,177,164/159,108,426 = 159,108,426/x
  3. Step 3: Cross multiply
    73,177,164x = 159,108,426 × 159,108,426
  4. Step 4: Simplify right side
    73,177,164x = 25,315,491,224,197,476
  5. Step 5: Solve for x
    x = 25,315,491,224,197,476/73,177,164
  6. Step 6: Final answer
    x = 345,947,968.47

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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.