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Finding the Third Proportional to 98,437.50 and 214,920

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Solution

The third proportional to 98,437.50 and 214,920 is: 469,237.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,437.50 : 214,920 = 214,920 : x
  2. Step 2: Convert to fraction form
    98,437.50/214,920 = 214,920/x
  3. Step 3: Cross multiply
    98,437.50x = 214,920 × 214,920
  4. Step 4: Simplify right side
    98,437.50x = 46,190,606,400
  5. Step 5: Solve for x
    x = 46,190,606,400/98,437.50
  6. Step 6: Final answer
    x = 469,237.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.