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Finding the Third Proportional to 227,067,165 and 497,121,975

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Solution

The third proportional to 227,067,165 and 497,121,975 is: 1,088,357,526.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,067,165 : 497,121,975 = 497,121,975 : x
  2. Step 2: Convert to fraction form
    227,067,165/497,121,975 = 497,121,975/x
  3. Step 3: Cross multiply
    227,067,165x = 497,121,975 × 497,121,975
  4. Step 4: Simplify right side
    227,067,165x = 247,130,258,027,900,640
  5. Step 5: Solve for x
    x = 247,130,258,027,900,640/227,067,165
  6. Step 6: Final answer
    x = 1,088,357,526.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.