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Finding the Third Proportional to 70,682.63 and 153,849.38

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Solution

The third proportional to 70,682.63 and 153,849.38 is: 334,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,682.63 : 153,849.38 = 153,849.38 : x
  2. Step 2: Convert to fraction form
    70,682.63/153,849.38 = 153,849.38/x
  3. Step 3: Cross multiply
    70,682.63x = 153,849.38 × 153,849.38
  4. Step 4: Simplify right side
    70,682.63x = 23,669,630,187.89
  5. Step 5: Solve for x
    x = 23,669,630,187.89/70,682.63
  6. Step 6: Final answer
    x = 334,871.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.