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Finding the Third Proportional to 77,477.63 and 169,697.25

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Solution

The third proportional to 77,477.63 and 169,697.25 is: 371,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,477.63 : 169,697.25 = 169,697.25 : x
  2. Step 2: Convert to fraction form
    77,477.63/169,697.25 = 169,697.25/x
  3. Step 3: Cross multiply
    77,477.63x = 169,697.25 × 169,697.25
  4. Step 4: Simplify right side
    77,477.63x = 28,797,156,657.56
  5. Step 5: Solve for x
    x = 28,797,156,657.56/77,477.63
  6. Step 6: Final answer
    x = 371,683.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.