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Finding the Third Proportional to 70,677.56 and 153,820.69

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Solution

The third proportional to 70,677.56 and 153,820.69 is: 334,771.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,677.56 : 153,820.69 = 153,820.69 : x
  2. Step 2: Convert to fraction form
    70,677.56/153,820.69 = 153,820.69/x
  3. Step 3: Cross multiply
    70,677.56x = 153,820.69 × 153,820.69
  4. Step 4: Simplify right side
    70,677.56x = 23,660,803,902.97
  5. Step 5: Solve for x
    x = 23,660,803,902.97/70,677.56
  6. Step 6: Final answer
    x = 334,771.08

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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.