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Finding the Third Proportional to 99,897 and 212,507

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Solution

The third proportional to 99,897 and 212,507 is: 452,057.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,897 : 212,507 = 212,507 : x
  2. Step 2: Convert to fraction form
    99,897/212,507 = 212,507/x
  3. Step 3: Cross multiply
    99,897x = 212,507 × 212,507
  4. Step 4: Simplify right side
    99,897x = 45,159,225,049
  5. Step 5: Solve for x
    x = 45,159,225,049/99,897
  6. Step 6: Final answer
    x = 452,057.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.