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Finding the Third Proportional to 45,319 and 100,018

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Solution

The third proportional to 45,319 and 100,018 is: 220,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,319 : 100,018 = 100,018 : x
  2. Step 2: Convert to fraction form
    45,319/100,018 = 100,018/x
  3. Step 3: Cross multiply
    45,319x = 100,018 × 100,018
  4. Step 4: Simplify right side
    45,319x = 10,003,600,324
  5. Step 5: Solve for x
    x = 10,003,600,324/45,319
  6. Step 6: Final answer
    x = 220,737.45

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.