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Finding the Third Proportional to 207,235,172 and 449,436,180

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Solution

The third proportional to 207,235,172 and 449,436,180 is: 974,703,656.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235,172 : 449,436,180 = 449,436,180 : x
  2. Step 2: Convert to fraction form
    207,235,172/449,436,180 = 449,436,180/x
  3. Step 3: Cross multiply
    207,235,172x = 449,436,180 × 449,436,180
  4. Step 4: Simplify right side
    207,235,172x = 201,992,879,892,992,384
  5. Step 5: Solve for x
    x = 201,992,879,892,992,384/207,235,172
  6. Step 6: Final answer
    x = 974,703,656.45

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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.