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Finding the Third Proportional to 70,672,920 and 149,494,194

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Solution

The third proportional to 70,672,920 and 149,494,194 is: 316,224,574.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,672,920 : 149,494,194 = 149,494,194 : x
  2. Step 2: Convert to fraction form
    70,672,920/149,494,194 = 149,494,194/x
  3. Step 3: Cross multiply
    70,672,920x = 149,494,194 × 149,494,194
  4. Step 4: Simplify right side
    70,672,920x = 22,348,514,039,709,636
  5. Step 5: Solve for x
    x = 22,348,514,039,709,636/70,672,920
  6. Step 6: Final answer
    x = 316,224,574.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.