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Finding the Third Proportional to 238,051,434 and 367,684,668

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Solution

The third proportional to 238,051,434 and 367,684,668 is: 567,910,946.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,051,434 : 367,684,668 = 367,684,668 : x
  2. Step 2: Convert to fraction form
    238,051,434/367,684,668 = 367,684,668/x
  3. Step 3: Cross multiply
    238,051,434x = 367,684,668 × 367,684,668
  4. Step 4: Simplify right side
    238,051,434x = 135,192,015,082,270,224
  5. Step 5: Solve for x
    x = 135,192,015,082,270,224/238,051,434
  6. Step 6: Final answer
    x = 567,910,946.01

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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.