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Finding the Third Proportional to 94,240.50 and 203,242.50

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Solution

The third proportional to 94,240.50 and 203,242.50 is: 438,320.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,240.50 : 203,242.50 = 203,242.50 : x
  2. Step 2: Convert to fraction form
    94,240.50/203,242.50 = 203,242.50/x
  3. Step 3: Cross multiply
    94,240.50x = 203,242.50 × 203,242.50
  4. Step 4: Simplify right side
    94,240.50x = 41,307,513,806.25
  5. Step 5: Solve for x
    x = 41,307,513,806.25/94,240.50
  6. Step 6: Final answer
    x = 438,320.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.