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Finding the Third Proportional to 49,388 and 109,455

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Solution

The third proportional to 49,388 and 109,455 is: 242,577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,388 : 109,455 = 109,455 : x
  2. Step 2: Convert to fraction form
    49,388/109,455 = 109,455/x
  3. Step 3: Cross multiply
    49,388x = 109,455 × 109,455
  4. Step 4: Simplify right side
    49,388x = 11,980,397,025
  5. Step 5: Solve for x
    x = 11,980,397,025/49,388
  6. Step 6: Final answer
    x = 242,577.08

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.