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Finding the Third Proportional to 94,257 and 203,272.88

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Solution

The third proportional to 94,257 and 203,272.88 is: 438,374.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,257 : 203,272.88 = 203,272.88 : x
  2. Step 2: Convert to fraction form
    94,257/203,272.88 = 203,272.88/x
  3. Step 3: Cross multiply
    94,257x = 203,272.88 × 203,272.88
  4. Step 4: Simplify right side
    94,257x = 41,319,861,710.77
  5. Step 5: Solve for x
    x = 41,319,861,710.77/94,257
  6. Step 6: Final answer
    x = 438,374.46

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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.