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Finding the Third Proportional to 154,224.09 and 210,104.02

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Solution

The third proportional to 154,224.09 and 210,104.02 is: 286,230.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,224.09 : 210,104.02 = 210,104.02 : x
  2. Step 2: Convert to fraction form
    154,224.09/210,104.02 = 210,104.02/x
  3. Step 3: Cross multiply
    154,224.09x = 210,104.02 × 210,104.02
  4. Step 4: Simplify right side
    154,224.09x = 44,143,697,381.75
  5. Step 5: Solve for x
    x = 44,143,697,381.75/154,224.09
  6. Step 6: Final answer
    x = 286,230.88

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.