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Finding the Third Proportional to 230,077,000 and 323,618,668

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Solution

The third proportional to 230,077,000 and 323,618,668 is: 455,191,271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,077,000 : 323,618,668 = 323,618,668 : x
  2. Step 2: Convert to fraction form
    230,077,000/323,618,668 = 323,618,668/x
  3. Step 3: Cross multiply
    230,077,000x = 323,618,668 × 323,618,668
  4. Step 4: Simplify right side
    230,077,000x = 104,729,042,278,094,224
  5. Step 5: Solve for x
    x = 104,729,042,278,094,224/230,077,000
  6. Step 6: Final answer
    x = 455,191,271.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.