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Finding the Third Proportional to 205,000,890 and 330,118,948.50

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Solution

The third proportional to 205,000,890 and 330,118,948.50 is: 531,600,229.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,000,890 : 330,118,948.50 = 330,118,948.50 : x
  2. Step 2: Convert to fraction form
    205,000,890/330,118,948.50 = 330,118,948.50/x
  3. Step 3: Cross multiply
    205,000,890x = 330,118,948.50 × 330,118,948.50
  4. Step 4: Simplify right side
    205,000,890x = 108,978,520,158,745,648
  5. Step 5: Solve for x
    x = 108,978,520,158,745,648/205,000,890
  6. Step 6: Final answer
    x = 531,600,229.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.