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Finding the Third Proportional to 99,332 and 209,704

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Solution

The third proportional to 99,332 and 209,704 is: 442,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,332 : 209,704 = 209,704 : x
  2. Step 2: Convert to fraction form
    99,332/209,704 = 209,704/x
  3. Step 3: Cross multiply
    99,332x = 209,704 × 209,704
  4. Step 4: Simplify right side
    99,332x = 43,975,767,616
  5. Step 5: Solve for x
    x = 43,975,767,616/99,332
  6. Step 6: Final answer
    x = 442,715.01

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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.