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Finding the Third Proportional to 94,748.06 and 205,263.75

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Solution

The third proportional to 94,748.06 and 205,263.75 is: 444,686.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,748.06 : 205,263.75 = 205,263.75 : x
  2. Step 2: Convert to fraction form
    94,748.06/205,263.75 = 205,263.75/x
  3. Step 3: Cross multiply
    94,748.06x = 205,263.75 × 205,263.75
  4. Step 4: Simplify right side
    94,748.06x = 42,133,207,064.06
  5. Step 5: Solve for x
    x = 42,133,207,064.06/94,748.06
  6. Step 6: Final answer
    x = 444,686.74

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.