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Finding the Third Proportional to 99,303 and 212,819

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Solution

The third proportional to 99,303 and 212,819 is: 456,098.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,303 : 212,819 = 212,819 : x
  2. Step 2: Convert to fraction form
    99,303/212,819 = 212,819/x
  3. Step 3: Cross multiply
    99,303x = 212,819 × 212,819
  4. Step 4: Simplify right side
    99,303x = 45,291,926,761
  5. Step 5: Solve for x
    x = 45,291,926,761/99,303
  6. Step 6: Final answer
    x = 456,098.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.