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Finding the Third Proportional to 53,870.06 and 109,278.56

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Solution

The third proportional to 53,870.06 and 109,278.56 is: 221,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,870.06 : 109,278.56 = 109,278.56 : x
  2. Step 2: Convert to fraction form
    53,870.06/109,278.56 = 109,278.56/x
  3. Step 3: Cross multiply
    53,870.06x = 109,278.56 × 109,278.56
  4. Step 4: Simplify right side
    53,870.06x = 11,941,804,222.07
  5. Step 5: Solve for x
    x = 11,941,804,222.07/53,870.06
  6. Step 6: Final answer
    x = 221,677.94

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.