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Finding the Third Proportional to 226,987,244,624.52 and 500,241,718,840.05

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Solution

The third proportional to 226,987,244,624.52 and 500,241,718,840.05 is: 1,102,448,631,781.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,987,244,624.52 : 500,241,718,840.05 = 500,241,718,840.05 : x
  2. Step 2: Convert to fraction form
    226,987,244,624.52/500,241,718,840.05 = 500,241,718,840.05/x
  3. Step 3: Cross multiply
    226,987,244,624.52x = 500,241,718,840.05 × 500,241,718,840.05
  4. Step 4: Simplify right side
    226,987,244,624.52x = 250,241,777,268,047,636,070,400
  5. Step 5: Solve for x
    x = 250,241,777,268,047,636,070,400/226,987,244,624.52
  6. Step 6: Final answer
    x = 1,102,448,631,781.03

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.