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Finding the Third Proportional to 136,014.19 and 296,115.75

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Solution

The third proportional to 136,014.19 and 296,115.75 is: 644,671.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,014.19 : 296,115.75 = 296,115.75 : x
  2. Step 2: Convert to fraction form
    136,014.19/296,115.75 = 296,115.75/x
  3. Step 3: Cross multiply
    136,014.19x = 296,115.75 × 296,115.75
  4. Step 4: Simplify right side
    136,014.19x = 87,684,537,398.06
  5. Step 5: Solve for x
    x = 87,684,537,398.06/136,014.19
  6. Step 6: Final answer
    x = 644,671.99

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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.