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Finding the Third Proportional to 94,683.94 and 206,317.13

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Solution

The third proportional to 94,683.94 and 206,317.13 is: 449,566.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,683.94 : 206,317.13 = 206,317.13 : x
  2. Step 2: Convert to fraction form
    94,683.94/206,317.13 = 206,317.13/x
  3. Step 3: Cross multiply
    94,683.94x = 206,317.13 × 206,317.13
  4. Step 4: Simplify right side
    94,683.94x = 42,566,756,068.27
  5. Step 5: Solve for x
    x = 42,566,756,068.27/94,683.94
  6. Step 6: Final answer
    x = 449,566.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.