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Finding the Third Proportional to 226,565,512.31 and 487,993,001.06

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Solution

The third proportional to 226,565,512.31 and 487,993,001.06 is: 1,051,074,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,565,512.31 : 487,993,001.06 = 487,993,001.06 : x
  2. Step 2: Convert to fraction form
    226,565,512.31/487,993,001.06 = 487,993,001.06/x
  3. Step 3: Cross multiply
    226,565,512.31x = 487,993,001.06 × 487,993,001.06
  4. Step 4: Simplify right side
    226,565,512.31x = 238,137,169,085,985,120
  5. Step 5: Solve for x
    x = 238,137,169,085,985,120/226,565,512.31
  6. Step 6: Final answer
    x = 1,051,074,219.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.