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Finding the Third Proportional to 227,067,206 and 497,122,056

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Solution

The third proportional to 227,067,206 and 497,122,056 is: 1,088,357,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,067,206 : 497,122,056 = 497,122,056 : x
  2. Step 2: Convert to fraction form
    227,067,206/497,122,056 = 497,122,056/x
  3. Step 3: Cross multiply
    227,067,206x = 497,122,056 × 497,122,056
  4. Step 4: Simplify right side
    227,067,206x = 247,130,338,561,667,136
  5. Step 5: Solve for x
    x = 247,130,338,561,667,136/227,067,206
  6. Step 6: Final answer
    x = 1,088,357,684.56

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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.