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Finding the Third Proportional to 99,907 and 209,048

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Solution

The third proportional to 99,907 and 209,048 is: 437,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,907 : 209,048 = 209,048 : x
  2. Step 2: Convert to fraction form
    99,907/209,048 = 209,048/x
  3. Step 3: Cross multiply
    99,907x = 209,048 × 209,048
  4. Step 4: Simplify right side
    99,907x = 43,701,066,304
  5. Step 5: Solve for x
    x = 43,701,066,304/99,907
  6. Step 6: Final answer
    x = 437,417.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.