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Finding the Third Proportional to 85,448.06 and 186,985.31

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Solution

The third proportional to 85,448.06 and 186,985.31 is: 409,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,448.06 : 186,985.31 = 186,985.31 : x
  2. Step 2: Convert to fraction form
    85,448.06/186,985.31 = 186,985.31/x
  3. Step 3: Cross multiply
    85,448.06x = 186,985.31 × 186,985.31
  4. Step 4: Simplify right side
    85,448.06x = 34,963,507,090.72
  5. Step 5: Solve for x
    x = 34,963,507,090.72/85,448.06
  6. Step 6: Final answer
    x = 409,178.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.