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Finding the Third Proportional to 230,239,611 and 354,252,055

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Solution

The third proportional to 230,239,611 and 354,252,055 is: 545,060,504.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,239,611 : 354,252,055 = 354,252,055 : x
  2. Step 2: Convert to fraction form
    230,239,611/354,252,055 = 354,252,055/x
  3. Step 3: Cross multiply
    230,239,611x = 354,252,055 × 354,252,055
  4. Step 4: Simplify right side
    230,239,611x = 125,494,518,471,723,024
  5. Step 5: Solve for x
    x = 125,494,518,471,723,024/230,239,611
  6. Step 6: Final answer
    x = 545,060,504.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.