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Finding the Third Proportional to 70,849.69 and 149,697.28

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Solution

The third proportional to 70,849.69 and 149,697.28 is: 316,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,849.69 : 149,697.28 = 149,697.28 : x
  2. Step 2: Convert to fraction form
    70,849.69/149,697.28 = 149,697.28/x
  3. Step 3: Cross multiply
    70,849.69x = 149,697.28 × 149,697.28
  4. Step 4: Simplify right side
    70,849.69x = 22,409,276,013.64
  5. Step 5: Solve for x
    x = 22,409,276,013.64/70,849.69
  6. Step 6: Final answer
    x = 316,293.22

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.