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Finding the Third Proportional to 230,340,830 and 353,209,989

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Solution

The third proportional to 230,340,830 and 353,209,989 is: 541,620,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,340,830 : 353,209,989 = 353,209,989 : x
  2. Step 2: Convert to fraction form
    230,340,830/353,209,989 = 353,209,989/x
  3. Step 3: Cross multiply
    230,340,830x = 353,209,989 × 353,209,989
  4. Step 4: Simplify right side
    230,340,830x = 124,757,296,329,380,128
  5. Step 5: Solve for x
    x = 124,757,296,329,380,128/230,340,830
  6. Step 6: Final answer
    x = 541,620,416.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.