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Finding the Third Proportional to 200,012,353.50 and 300,551,025

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Solution

The third proportional to 200,012,353.50 and 300,551,025 is: 451,626,697.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,012,353.50 : 300,551,025 = 300,551,025 : x
  2. Step 2: Convert to fraction form
    200,012,353.50/300,551,025 = 300,551,025/x
  3. Step 3: Cross multiply
    200,012,353.50x = 300,551,025 × 300,551,025
  4. Step 4: Simplify right side
    200,012,353.50x = 90,330,918,628,550,624
  5. Step 5: Solve for x
    x = 90,330,918,628,550,624/200,012,353.50
  6. Step 6: Final answer
    x = 451,626,697.29

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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.