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Finding the Third Proportional to 113,683.78 and 189,461.67

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Solution

The third proportional to 113,683.78 and 189,461.67 is: 315,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,683.78 : 189,461.67 = 189,461.67 : x
  2. Step 2: Convert to fraction form
    113,683.78/189,461.67 = 189,461.67/x
  3. Step 3: Cross multiply
    113,683.78x = 189,461.67 × 189,461.67
  4. Step 4: Simplify right side
    113,683.78x = 35,895,725,109.67
  5. Step 5: Solve for x
    x = 35,895,725,109.67/113,683.78
  6. Step 6: Final answer
    x = 315,750.63

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.