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Finding the Third Proportional to 99,419 and 210,354

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Solution

The third proportional to 99,419 and 210,354 is: 445,073.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,419 : 210,354 = 210,354 : x
  2. Step 2: Convert to fraction form
    99,419/210,354 = 210,354/x
  3. Step 3: Cross multiply
    99,419x = 210,354 × 210,354
  4. Step 4: Simplify right side
    99,419x = 44,248,805,316
  5. Step 5: Solve for x
    x = 44,248,805,316/99,419
  6. Step 6: Final answer
    x = 445,073.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.