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Finding the Third Proportional to 45,197 and 99,010

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Solution

The third proportional to 45,197 and 99,010 is: 216,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,197 : 99,010 = 99,010 : x
  2. Step 2: Convert to fraction form
    45,197/99,010 = 99,010/x
  3. Step 3: Cross multiply
    45,197x = 99,010 × 99,010
  4. Step 4: Simplify right side
    45,197x = 9,802,980,100
  5. Step 5: Solve for x
    x = 9,802,980,100/45,197
  6. Step 6: Final answer
    x = 216,894.49

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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.