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Finding the Third Proportional to 86,929.94 and 183,200.06

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Solution

The third proportional to 86,929.94 and 183,200.06 is: 386,084.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,929.94 : 183,200.06 = 183,200.06 : x
  2. Step 2: Convert to fraction form
    86,929.94/183,200.06 = 183,200.06/x
  3. Step 3: Cross multiply
    86,929.94x = 183,200.06 × 183,200.06
  4. Step 4: Simplify right side
    86,929.94x = 33,562,262,900.00
  5. Step 5: Solve for x
    x = 33,562,262,900.00/86,929.94
  6. Step 6: Final answer
    x = 386,084.06

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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.