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Finding the Third Proportional to 98,153 and 209,370

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Solution

The third proportional to 98,153 and 209,370 is: 446,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,153 : 209,370 = 209,370 : x
  2. Step 2: Convert to fraction form
    98,153/209,370 = 209,370/x
  3. Step 3: Cross multiply
    98,153x = 209,370 × 209,370
  4. Step 4: Simplify right side
    98,153x = 43,835,796,900
  5. Step 5: Solve for x
    x = 43,835,796,900/98,153
  6. Step 6: Final answer
    x = 446,606.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.