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Finding the Third Proportional to 109,023 and 154,606.50

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Solution

The third proportional to 109,023 and 154,606.50 is: 219,248.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,023 : 154,606.50 = 154,606.50 : x
  2. Step 2: Convert to fraction form
    109,023/154,606.50 = 154,606.50/x
  3. Step 3: Cross multiply
    109,023x = 154,606.50 × 154,606.50
  4. Step 4: Simplify right side
    109,023x = 23,903,169,842.25
  5. Step 5: Solve for x
    x = 23,903,169,842.25/109,023
  6. Step 6: Final answer
    x = 219,248.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.