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Finding the Third Proportional to 86,955 and 183,250.50

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Solution

The third proportional to 86,955 and 183,250.50 is: 386,185.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,955 : 183,250.50 = 183,250.50 : x
  2. Step 2: Convert to fraction form
    86,955/183,250.50 = 183,250.50/x
  3. Step 3: Cross multiply
    86,955x = 183,250.50 × 183,250.50
  4. Step 4: Simplify right side
    86,955x = 33,580,745,750.25
  5. Step 5: Solve for x
    x = 33,580,745,750.25/86,955
  6. Step 6: Final answer
    x = 386,185.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.