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Finding the Third Proportional to 102,296.25 and 223,178.63

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Solution

The third proportional to 102,296.25 and 223,178.63 is: 486,906.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,296.25 : 223,178.63 = 223,178.63 : x
  2. Step 2: Convert to fraction form
    102,296.25/223,178.63 = 223,178.63/x
  3. Step 3: Cross multiply
    102,296.25x = 223,178.63 × 223,178.63
  4. Step 4: Simplify right side
    102,296.25x = 49,808,698,656.89
  5. Step 5: Solve for x
    x = 49,808,698,656.89/102,296.25
  6. Step 6: Final answer
    x = 486,906.40

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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.