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Finding the Third Proportional to 156,244,158 and 330,202,980

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Solution

The third proportional to 156,244,158 and 330,202,980 is: 697,843,742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,244,158 : 330,202,980 = 330,202,980 : x
  2. Step 2: Convert to fraction form
    156,244,158/330,202,980 = 330,202,980/x
  3. Step 3: Cross multiply
    156,244,158x = 330,202,980 × 330,202,980
  4. Step 4: Simplify right side
    156,244,158x = 109,034,008,000,880,400
  5. Step 5: Solve for x
    x = 109,034,008,000,880,400/156,244,158
  6. Step 6: Final answer
    x = 697,843,742.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.