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Finding the Third Proportional to 205,534,008 and 300,583,668

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Solution

The third proportional to 205,534,008 and 300,583,668 is: 439,589,255.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,534,008 : 300,583,668 = 300,583,668 : x
  2. Step 2: Convert to fraction form
    205,534,008/300,583,668 = 300,583,668/x
  3. Step 3: Cross multiply
    205,534,008x = 300,583,668 × 300,583,668
  4. Step 4: Simplify right side
    205,534,008x = 90,350,541,468,334,224
  5. Step 5: Solve for x
    x = 90,350,541,468,334,224/205,534,008
  6. Step 6: Final answer
    x = 439,589,255.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.