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Finding the Third Proportional to 204,265,891.13 and 423,066,288.09

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Solution

The third proportional to 204,265,891.13 and 423,066,288.09 is: 876,235,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,265,891.13 : 423,066,288.09 = 423,066,288.09 : x
  2. Step 2: Convert to fraction form
    204,265,891.13/423,066,288.09 = 423,066,288.09/x
  3. Step 3: Cross multiply
    204,265,891.13x = 423,066,288.09 × 423,066,288.09
  4. Step 4: Simplify right side
    204,265,891.13x = 178,985,084,121,423,872
  5. Step 5: Solve for x
    x = 178,985,084,121,423,872/204,265,891.13
  6. Step 6: Final answer
    x = 876,235,788.24

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.