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Finding the Third Proportional to 211,729,202 and 458,632,852

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Solution

The third proportional to 211,729,202 and 458,632,852 is: 993,458,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,729,202 : 458,632,852 = 458,632,852 : x
  2. Step 2: Convert to fraction form
    211,729,202/458,632,852 = 458,632,852/x
  3. Step 3: Cross multiply
    211,729,202x = 458,632,852 × 458,632,852
  4. Step 4: Simplify right side
    211,729,202x = 210,344,092,933,653,888
  5. Step 5: Solve for x
    x = 210,344,092,933,653,888/211,729,202
  6. Step 6: Final answer
    x = 993,458,110.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.