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Finding the Third Proportional to 99,575 and 210,808

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Solution

The third proportional to 99,575 and 210,808 is: 446,296.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,575 : 210,808 = 210,808 : x
  2. Step 2: Convert to fraction form
    99,575/210,808 = 210,808/x
  3. Step 3: Cross multiply
    99,575x = 210,808 × 210,808
  4. Step 4: Simplify right side
    99,575x = 44,440,012,864
  5. Step 5: Solve for x
    x = 44,440,012,864/99,575
  6. Step 6: Final answer
    x = 446,296.89

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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.