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Finding the Third Proportional to 186,439.22 and 406,101.09

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Solution

The third proportional to 186,439.22 and 406,101.09 is: 884,567.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,439.22 : 406,101.09 = 406,101.09 : x
  2. Step 2: Convert to fraction form
    186,439.22/406,101.09 = 406,101.09/x
  3. Step 3: Cross multiply
    186,439.22x = 406,101.09 × 406,101.09
  4. Step 4: Simplify right side
    186,439.22x = 164,918,098,344.95
  5. Step 5: Solve for x
    x = 164,918,098,344.95/186,439.22
  6. Step 6: Final answer
    x = 884,567.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.