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Finding the Third Proportional to 208,101 and 447,783.75

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Solution

The third proportional to 208,101 and 447,783.75 is: 963,523.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,101 : 447,783.75 = 447,783.75 : x
  2. Step 2: Convert to fraction form
    208,101/447,783.75 = 447,783.75/x
  3. Step 3: Cross multiply
    208,101x = 447,783.75 × 447,783.75
  4. Step 4: Simplify right side
    208,101x = 200,510,286,764.06
  5. Step 5: Solve for x
    x = 200,510,286,764.06/208,101
  6. Step 6: Final answer
    x = 963,523.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.