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Finding the Third Proportional to 94,056.19 and 201,225.94

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Solution

The third proportional to 94,056.19 and 201,225.94 is: 430,507.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,056.19 : 201,225.94 = 201,225.94 : x
  2. Step 2: Convert to fraction form
    94,056.19/201,225.94 = 201,225.94/x
  3. Step 3: Cross multiply
    94,056.19x = 201,225.94 × 201,225.94
  4. Step 4: Simplify right side
    94,056.19x = 40,491,877,922.75
  5. Step 5: Solve for x
    x = 40,491,877,922.75/94,056.19
  6. Step 6: Final answer
    x = 430,507.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.