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Finding the Third Proportional to 94,247.63 and 205,430.63

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Solution

The third proportional to 94,247.63 and 205,430.63 is: 447,775.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,247.63 : 205,430.63 = 205,430.63 : x
  2. Step 2: Convert to fraction form
    94,247.63/205,430.63 = 205,430.63/x
  3. Step 3: Cross multiply
    94,247.63x = 205,430.63 × 205,430.63
  4. Step 4: Simplify right side
    94,247.63x = 42,201,741,687.89
  5. Step 5: Solve for x
    x = 42,201,741,687.89/94,247.63
  6. Step 6: Final answer
    x = 447,775.12

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