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Finding the Third Proportional to 99,062 and 216,178

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Solution

The third proportional to 99,062 and 216,178 is: 471,754.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,062 : 216,178 = 216,178 : x
  2. Step 2: Convert to fraction form
    99,062/216,178 = 216,178/x
  3. Step 3: Cross multiply
    99,062x = 216,178 × 216,178
  4. Step 4: Simplify right side
    99,062x = 46,732,927,684
  5. Step 5: Solve for x
    x = 46,732,927,684/99,062
  6. Step 6: Final answer
    x = 471,754.33

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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.