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Finding the Third Proportional to 86,975.02 and 186,817.64

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Solution

The third proportional to 86,975.02 and 186,817.64 is: 401,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,975.02 : 186,817.64 = 186,817.64 : x
  2. Step 2: Convert to fraction form
    86,975.02/186,817.64 = 186,817.64/x
  3. Step 3: Cross multiply
    86,975.02x = 186,817.64 × 186,817.64
  4. Step 4: Simplify right side
    86,975.02x = 34,900,830,848.69
  5. Step 5: Solve for x
    x = 34,900,830,848.69/86,975.02
  6. Step 6: Final answer
    x = 401,274.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.