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Finding the Third Proportional to 96,097.50 and 143,698.50

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Solution

The third proportional to 96,097.50 and 143,698.50 is: 214,878.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,097.50 : 143,698.50 = 143,698.50 : x
  2. Step 2: Convert to fraction form
    96,097.50/143,698.50 = 143,698.50/x
  3. Step 3: Cross multiply
    96,097.50x = 143,698.50 × 143,698.50
  4. Step 4: Simplify right side
    96,097.50x = 20,649,258,902.25
  5. Step 5: Solve for x
    x = 20,649,258,902.25/96,097.50
  6. Step 6: Final answer
    x = 214,878.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.