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Finding the Third Proportional to 137,613.94 and 212,683.22

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Solution

The third proportional to 137,613.94 and 212,683.22 is: 328,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,613.94 : 212,683.22 = 212,683.22 : x
  2. Step 2: Convert to fraction form
    137,613.94/212,683.22 = 212,683.22/x
  3. Step 3: Cross multiply
    137,613.94x = 212,683.22 × 212,683.22
  4. Step 4: Simplify right side
    137,613.94x = 45,234,151,537.86
  5. Step 5: Solve for x
    x = 45,234,151,537.86/137,613.94
  6. Step 6: Final answer
    x = 328,703.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.