Home / 198,126,002.53-447,622,174.69

Finding the Third Proportional to 198,126,002.53 and 447,622,174.69

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Solution

The third proportional to 198,126,002.53 and 447,622,174.69 is: 1,011,303,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,126,002.53 : 447,622,174.69 = 447,622,174.69 : x
  2. Step 2: Convert to fraction form
    198,126,002.53/447,622,174.69 = 447,622,174.69/x
  3. Step 3: Cross multiply
    198,126,002.53x = 447,622,174.69 × 447,622,174.69
  4. Step 4: Simplify right side
    198,126,002.53x = 200,365,611,271,966,752
  5. Step 5: Solve for x
    x = 200,365,611,271,966,752/198,126,002.53
  6. Step 6: Final answer
    x = 1,011,303,961.68

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.