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Finding the Third Proportional to 200,012,314 and 300,551,014

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Solution

The third proportional to 200,012,314 and 300,551,014 is: 451,626,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,314 : 300,551,014 = 300,551,014 : x
  2. Step 2: Convert to fraction form
    200,012,314/300,551,014 = 300,551,014/x
  3. Step 3: Cross multiply
    200,012,314x = 300,551,014 × 300,551,014
  4. Step 4: Simplify right side
    200,012,314x = 90,330,912,016,428,192
  5. Step 5: Solve for x
    x = 90,330,912,016,428,192/200,012,314
  6. Step 6: Final answer
    x = 451,626,753.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.