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Finding the Third Proportional to 83,462.63 and 184,937.63

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Solution

The third proportional to 83,462.63 and 184,937.63 is: 409,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,462.63 : 184,937.63 = 184,937.63 : x
  2. Step 2: Convert to fraction form
    83,462.63/184,937.63 = 184,937.63/x
  3. Step 3: Cross multiply
    83,462.63x = 184,937.63 × 184,937.63
  4. Step 4: Simplify right side
    83,462.63x = 34,201,925,140.64
  5. Step 5: Solve for x
    x = 34,201,925,140.64/83,462.63
  6. Step 6: Final answer
    x = 409,787.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.