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Finding the Third Proportional to 131,613.94 and 208,224.84

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Solution

The third proportional to 131,613.94 and 208,224.84 is: 329,430.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,613.94 : 208,224.84 = 208,224.84 : x
  2. Step 2: Convert to fraction form
    131,613.94/208,224.84 = 208,224.84/x
  3. Step 3: Cross multiply
    131,613.94x = 208,224.84 × 208,224.84
  4. Step 4: Simplify right side
    131,613.94x = 43,357,585,554.71
  5. Step 5: Solve for x
    x = 43,357,585,554.71/131,613.94
  6. Step 6: Final answer
    x = 329,430.05

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.