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Finding the Third Proportional to 77,933.63 and 167,522.63

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Solution

The third proportional to 77,933.63 and 167,522.63 is: 360,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,933.63 : 167,522.63 = 167,522.63 : x
  2. Step 2: Convert to fraction form
    77,933.63/167,522.63 = 167,522.63/x
  3. Step 3: Cross multiply
    77,933.63x = 167,522.63 × 167,522.63
  4. Step 4: Simplify right side
    77,933.63x = 28,063,829,886.89
  5. Step 5: Solve for x
    x = 28,063,829,886.89/77,933.63
  6. Step 6: Final answer
    x = 360,099.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.