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Finding the Third Proportional to 109,646.16 and 239,123.39

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Solution

The third proportional to 109,646.16 and 239,123.39 is: 521,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,646.16 : 239,123.39 = 239,123.39 : x
  2. Step 2: Convert to fraction form
    109,646.16/239,123.39 = 239,123.39/x
  3. Step 3: Cross multiply
    109,646.16x = 239,123.39 × 239,123.39
  4. Step 4: Simplify right side
    109,646.16x = 57,179,995,944.00
  5. Step 5: Solve for x
    x = 57,179,995,944.00/109,646.16
  6. Step 6: Final answer
    x = 521,495.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.