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Finding the Third Proportional to 98,671.50 and 108,688.50

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Solution

The third proportional to 98,671.50 and 108,688.50 is: 119,722.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,671.50 : 108,688.50 = 108,688.50 : x
  2. Step 2: Convert to fraction form
    98,671.50/108,688.50 = 108,688.50/x
  3. Step 3: Cross multiply
    98,671.50x = 108,688.50 × 108,688.50
  4. Step 4: Simplify right side
    98,671.50x = 11,813,190,032.25
  5. Step 5: Solve for x
    x = 11,813,190,032.25/98,671.50
  6. Step 6: Final answer
    x = 119,722.41

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.