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Finding the Third Proportional to 202,923,234.02 and 313,703,540.56

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Solution

The third proportional to 202,923,234.02 and 313,703,540.56 is: 484,961,280.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,923,234.02 : 313,703,540.56 = 313,703,540.56 : x
  2. Step 2: Convert to fraction form
    202,923,234.02/313,703,540.56 = 313,703,540.56/x
  3. Step 3: Cross multiply
    202,923,234.02x = 313,703,540.56 × 313,703,540.56
  4. Step 4: Simplify right side
    202,923,234.02x = 98,409,911,360,224,624
  5. Step 5: Solve for x
    x = 98,409,911,360,224,624/202,923,234.02
  6. Step 6: Final answer
    x = 484,961,280.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.