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Finding the Third Proportional to 46,200.38 and 85,201.88

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Solution

The third proportional to 46,200.38 and 85,201.88 is: 157,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,200.38 : 85,201.88 = 85,201.88 : x
  2. Step 2: Convert to fraction form
    46,200.38/85,201.88 = 85,201.88/x
  3. Step 3: Cross multiply
    46,200.38x = 85,201.88 × 85,201.88
  4. Step 4: Simplify right side
    46,200.38x = 7,259,359,503.52
  5. Step 5: Solve for x
    x = 7,259,359,503.52/46,200.38
  6. Step 6: Final answer
    x = 157,127.72

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.