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Finding the Third Proportional to 45,520 and 99,018

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Solution

The third proportional to 45,520 and 99,018 is: 215,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,520 : 99,018 = 99,018 : x
  2. Step 2: Convert to fraction form
    45,520/99,018 = 99,018/x
  3. Step 3: Cross multiply
    45,520x = 99,018 × 99,018
  4. Step 4: Simplify right side
    45,520x = 9,804,564,324
  5. Step 5: Solve for x
    x = 9,804,564,324/45,520
  6. Step 6: Final answer
    x = 215,390.25

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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.