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Finding the Third Proportional to 109,660.50 and 160,688.63

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Solution

The third proportional to 109,660.50 and 160,688.63 is: 235,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,660.50 : 160,688.63 = 160,688.63 : x
  2. Step 2: Convert to fraction form
    109,660.50/160,688.63 = 160,688.63/x
  3. Step 3: Cross multiply
    109,660.50x = 160,688.63 × 160,688.63
  4. Step 4: Simplify right side
    109,660.50x = 25,820,834,204.39
  5. Step 5: Solve for x
    x = 25,820,834,204.39/109,660.50
  6. Step 6: Final answer
    x = 235,461.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.