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Finding the Third Proportional to 227,067,240 and 497,122,104

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Solution

The third proportional to 227,067,240 and 497,122,104 is: 1,088,357,731.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,067,240 : 497,122,104 = 497,122,104 : x
  2. Step 2: Convert to fraction form
    227,067,240/497,122,104 = 497,122,104/x
  3. Step 3: Cross multiply
    227,067,240x = 497,122,104 × 497,122,104
  4. Step 4: Simplify right side
    227,067,240x = 247,130,386,285,386,816
  5. Step 5: Solve for x
    x = 247,130,386,285,386,816/227,067,240
  6. Step 6: Final answer
    x = 1,088,357,731.77

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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.