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Finding the Third Proportional to 146,236,444 and 317,646,391

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Solution

The third proportional to 146,236,444 and 317,646,391 is: 689,973,217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,236,444 : 317,646,391 = 317,646,391 : x
  2. Step 2: Convert to fraction form
    146,236,444/317,646,391 = 317,646,391/x
  3. Step 3: Cross multiply
    146,236,444x = 317,646,391 × 317,646,391
  4. Step 4: Simplify right side
    146,236,444x = 100,899,229,715,324,880
  5. Step 5: Solve for x
    x = 100,899,229,715,324,880/146,236,444
  6. Step 6: Final answer
    x = 689,973,217.04

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.