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Finding the Third Proportional to 139,633.88 and 215,770.50

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Solution

The third proportional to 139,633.88 and 215,770.50 is: 333,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,633.88 : 215,770.50 = 215,770.50 : x
  2. Step 2: Convert to fraction form
    139,633.88/215,770.50 = 215,770.50/x
  3. Step 3: Cross multiply
    139,633.88x = 215,770.50 × 215,770.50
  4. Step 4: Simplify right side
    139,633.88x = 46,556,908,670.25
  5. Step 5: Solve for x
    x = 46,556,908,670.25/139,633.88
  6. Step 6: Final answer
    x = 333,421.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.