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Finding the Third Proportional to 46,526 and 100,018

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Solution

The third proportional to 46,526 and 100,018 is: 215,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,526 : 100,018 = 100,018 : x
  2. Step 2: Convert to fraction form
    46,526/100,018 = 100,018/x
  3. Step 3: Cross multiply
    46,526x = 100,018 × 100,018
  4. Step 4: Simplify right side
    46,526x = 10,003,600,324
  5. Step 5: Solve for x
    x = 10,003,600,324/46,526
  6. Step 6: Final answer
    x = 215,010.97

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