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Finding the Third Proportional to 213,613,473 and 438,551,232

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Solution

The third proportional to 213,613,473 and 438,551,232 is: 900,351,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,473 : 438,551,232 = 438,551,232 : x
  2. Step 2: Convert to fraction form
    213,613,473/438,551,232 = 438,551,232/x
  3. Step 3: Cross multiply
    213,613,473x = 438,551,232 × 438,551,232
  4. Step 4: Simplify right side
    213,613,473x = 192,327,183,088,717,824
  5. Step 5: Solve for x
    x = 192,327,183,088,717,824/213,613,473
  6. Step 6: Final answer
    x = 900,351,370.11

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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.