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Finding the Third Proportional to 67,486.50 and 147,683.63

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Solution

The third proportional to 67,486.50 and 147,683.63 is: 323,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,486.50 : 147,683.63 = 147,683.63 : x
  2. Step 2: Convert to fraction form
    67,486.50/147,683.63 = 147,683.63/x
  3. Step 3: Cross multiply
    67,486.50x = 147,683.63 × 147,683.63
  4. Step 4: Simplify right side
    67,486.50x = 21,810,453,093.14
  5. Step 5: Solve for x
    x = 21,810,453,093.14/67,486.50
  6. Step 6: Final answer
    x = 323,182.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.