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Finding the Third Proportional to 77,018.34 and 165,495.66

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Solution

The third proportional to 77,018.34 and 165,495.66 is: 355,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,018.34 : 165,495.66 = 165,495.66 : x
  2. Step 2: Convert to fraction form
    77,018.34/165,495.66 = 165,495.66/x
  3. Step 3: Cross multiply
    77,018.34x = 165,495.66 × 165,495.66
  4. Step 4: Simplify right side
    77,018.34x = 27,388,812,237.62
  5. Step 5: Solve for x
    x = 27,388,812,237.62/77,018.34
  6. Step 6: Final answer
    x = 355,614.14

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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.