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Finding the Third Proportional to 102,730 and 222,308

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Solution

The third proportional to 102,730 and 222,308 is: 481,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,730 : 222,308 = 222,308 : x
  2. Step 2: Convert to fraction form
    102,730/222,308 = 222,308/x
  3. Step 3: Cross multiply
    102,730x = 222,308 × 222,308
  4. Step 4: Simplify right side
    102,730x = 49,420,846,864
  5. Step 5: Solve for x
    x = 49,420,846,864/102,730
  6. Step 6: Final answer
    x = 481,075.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.