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Finding the Third Proportional to 99,254 and 216,354

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Solution

The third proportional to 99,254 and 216,354 is: 471,608.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,254 : 216,354 = 216,354 : x
  2. Step 2: Convert to fraction form
    99,254/216,354 = 216,354/x
  3. Step 3: Cross multiply
    99,254x = 216,354 × 216,354
  4. Step 4: Simplify right side
    99,254x = 46,809,053,316
  5. Step 5: Solve for x
    x = 46,809,053,316/99,254
  6. Step 6: Final answer
    x = 471,608.73

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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.