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Finding the Third Proportional to 47,239 and 99,808

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Solution

The third proportional to 47,239 and 99,808 is: 210,877.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,239 : 99,808 = 99,808 : x
  2. Step 2: Convert to fraction form
    47,239/99,808 = 99,808/x
  3. Step 3: Cross multiply
    47,239x = 99,808 × 99,808
  4. Step 4: Simplify right side
    47,239x = 9,961,636,864
  5. Step 5: Solve for x
    x = 9,961,636,864/47,239
  6. Step 6: Final answer
    x = 210,877.39

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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.