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Finding the Third Proportional to 52,833.38 and 110,030.63

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Solution

The third proportional to 52,833.38 and 110,030.63 is: 229,149.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,833.38 : 110,030.63 = 110,030.63 : x
  2. Step 2: Convert to fraction form
    52,833.38/110,030.63 = 110,030.63/x
  3. Step 3: Cross multiply
    52,833.38x = 110,030.63 × 110,030.63
  4. Step 4: Simplify right side
    52,833.38x = 12,106,738,437.89
  5. Step 5: Solve for x
    x = 12,106,738,437.89/52,833.38
  6. Step 6: Final answer
    x = 229,149.44

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.