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Finding the Third Proportional to 86,913 and 183,166.31

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Solution

The third proportional to 86,913 and 183,166.31 is: 386,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,913 : 183,166.31 = 183,166.31 : x
  2. Step 2: Convert to fraction form
    86,913/183,166.31 = 183,166.31/x
  3. Step 3: Cross multiply
    86,913x = 183,166.31 × 183,166.31
  4. Step 4: Simplify right side
    86,913x = 33,549,898,034.85
  5. Step 5: Solve for x
    x = 33,549,898,034.85/86,913
  6. Step 6: Final answer
    x = 386,017.03

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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.