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Finding the Third Proportional to 207,235,176 and 449,436,200

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Solution

The third proportional to 207,235,176 and 449,436,200 is: 974,703,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235,176 : 449,436,200 = 449,436,200 : x
  2. Step 2: Convert to fraction form
    207,235,176/449,436,200 = 449,436,200/x
  3. Step 3: Cross multiply
    207,235,176x = 449,436,200 × 449,436,200
  4. Step 4: Simplify right side
    207,235,176x = 201,992,897,870,440,000
  5. Step 5: Solve for x
    x = 201,992,897,870,440,000/207,235,176
  6. Step 6: Final answer
    x = 974,703,724.38

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Why These Related Problems?

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