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Finding the Third Proportional to 269,957,824 and 403,167,723

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Solution

The third proportional to 269,957,824 and 403,167,723 is: 602,109,657.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,957,824 : 403,167,723 = 403,167,723 : x
  2. Step 2: Convert to fraction form
    269,957,824/403,167,723 = 403,167,723/x
  3. Step 3: Cross multiply
    269,957,824x = 403,167,723 × 403,167,723
  4. Step 4: Simplify right side
    269,957,824x = 162,544,212,869,004,736
  5. Step 5: Solve for x
    x = 162,544,212,869,004,736/269,957,824
  6. Step 6: Final answer
    x = 602,109,657.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.