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Finding the Third Proportional to 99,645 and 210,546

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Solution

The third proportional to 99,645 and 210,546 is: 444,875.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,645 : 210,546 = 210,546 : x
  2. Step 2: Convert to fraction form
    99,645/210,546 = 210,546/x
  3. Step 3: Cross multiply
    99,645x = 210,546 × 210,546
  4. Step 4: Simplify right side
    99,645x = 44,329,618,116
  5. Step 5: Solve for x
    x = 44,329,618,116/99,645
  6. Step 6: Final answer
    x = 444,875.49

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.