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Finding the Third Proportional to 109,146.87 and 238,582.34

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Solution

The third proportional to 109,146.87 and 238,582.34 is: 521,513.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,146.87 : 238,582.34 = 238,582.34 : x
  2. Step 2: Convert to fraction form
    109,146.87/238,582.34 = 238,582.34/x
  3. Step 3: Cross multiply
    109,146.87x = 238,582.34 × 238,582.34
  4. Step 4: Simplify right side
    109,146.87x = 56,921,531,021.39
  5. Step 5: Solve for x
    x = 56,921,531,021.39/109,146.87
  6. Step 6: Final answer
    x = 521,513.19

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.