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Finding the Third Proportional to 213,588,912 and 320,952,081

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Solution

The third proportional to 213,588,912 and 320,952,081 is: 482,282,705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588,912 : 320,952,081 = 320,952,081 : x
  2. Step 2: Convert to fraction form
    213,588,912/320,952,081 = 320,952,081/x
  3. Step 3: Cross multiply
    213,588,912x = 320,952,081 × 320,952,081
  4. Step 4: Simplify right side
    213,588,912x = 103,010,238,298,230,560
  5. Step 5: Solve for x
    x = 103,010,238,298,230,560/213,588,912
  6. Step 6: Final answer
    x = 482,282,705.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.