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Finding the Third Proportional to 99,297 and 216,065

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Solution

The third proportional to 99,297 and 216,065 is: 470,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,297 : 216,065 = 216,065 : x
  2. Step 2: Convert to fraction form
    99,297/216,065 = 216,065/x
  3. Step 3: Cross multiply
    99,297x = 216,065 × 216,065
  4. Step 4: Simplify right side
    99,297x = 46,684,084,225
  5. Step 5: Solve for x
    x = 46,684,084,225/99,297
  6. Step 6: Final answer
    x = 470,145.97

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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.