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Finding the Third Proportional to 86,090.63 and 182,603.25

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Solution

The third proportional to 86,090.63 and 182,603.25 is: 387,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,090.63 : 182,603.25 = 182,603.25 : x
  2. Step 2: Convert to fraction form
    86,090.63/182,603.25 = 182,603.25/x
  3. Step 3: Cross multiply
    86,090.63x = 182,603.25 × 182,603.25
  4. Step 4: Simplify right side
    86,090.63x = 33,343,946,910.56
  5. Step 5: Solve for x
    x = 33,343,946,910.56/86,090.63
  6. Step 6: Final answer
    x = 387,312.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.