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Finding the Third Proportional to 213,613,524 and 438,551,328

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Solution

The third proportional to 213,613,524 and 438,551,328 is: 900,351,549.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,524 : 438,551,328 = 438,551,328 : x
  2. Step 2: Convert to fraction form
    213,613,524/438,551,328 = 438,551,328/x
  3. Step 3: Cross multiply
    213,613,524x = 438,551,328 × 438,551,328
  4. Step 4: Simplify right side
    213,613,524x = 192,327,267,290,563,584
  5. Step 5: Solve for x
    x = 192,327,267,290,563,584/213,613,524
  6. Step 6: Final answer
    x = 900,351,549.33

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.