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Finding the Third Proportional to 98,115 and 209,350.50

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Solution

The third proportional to 98,115 and 209,350.50 is: 446,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,115 : 209,350.50 = 209,350.50 : x
  2. Step 2: Convert to fraction form
    98,115/209,350.50 = 209,350.50/x
  3. Step 3: Cross multiply
    98,115x = 209,350.50 × 209,350.50
  4. Step 4: Simplify right side
    98,115x = 43,827,631,850.25
  5. Step 5: Solve for x
    x = 43,827,631,850.25/98,115
  6. Step 6: Final answer
    x = 446,696.55

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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.