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Finding the Third Proportional to 99,919 and 209,076

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Solution

The third proportional to 99,919 and 209,076 is: 437,482.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,919 : 209,076 = 209,076 : x
  2. Step 2: Convert to fraction form
    99,919/209,076 = 209,076/x
  3. Step 3: Cross multiply
    99,919x = 209,076 × 209,076
  4. Step 4: Simplify right side
    99,919x = 43,712,773,776
  5. Step 5: Solve for x
    x = 43,712,773,776/99,919
  6. Step 6: Final answer
    x = 437,482.10

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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.