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Finding the Third Proportional to 108,688.50 and 236,683.50

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Solution

The third proportional to 108,688.50 and 236,683.50 is: 515,409.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,688.50 : 236,683.50 = 236,683.50 : x
  2. Step 2: Convert to fraction form
    108,688.50/236,683.50 = 236,683.50/x
  3. Step 3: Cross multiply
    108,688.50x = 236,683.50 × 236,683.50
  4. Step 4: Simplify right side
    108,688.50x = 56,019,079,172.25
  5. Step 5: Solve for x
    x = 56,019,079,172.25/108,688.50
  6. Step 6: Final answer
    x = 515,409.44

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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.