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Finding the Third Proportional to 92,415.94 and 205,881.75

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Solution

The third proportional to 92,415.94 and 205,881.75 is: 458,657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,415.94 : 205,881.75 = 205,881.75 : x
  2. Step 2: Convert to fraction form
    92,415.94/205,881.75 = 205,881.75/x
  3. Step 3: Cross multiply
    92,415.94x = 205,881.75 × 205,881.75
  4. Step 4: Simplify right side
    92,415.94x = 42,387,294,983.06
  5. Step 5: Solve for x
    x = 42,387,294,983.06/92,415.94
  6. Step 6: Final answer
    x = 458,657.85

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.