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Finding the Third Proportional to 139,113 and 209,968.50

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Solution

The third proportional to 139,113 and 209,968.50 is: 316,913.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,113 : 209,968.50 = 209,968.50 : x
  2. Step 2: Convert to fraction form
    139,113/209,968.50 = 209,968.50/x
  3. Step 3: Cross multiply
    139,113x = 209,968.50 × 209,968.50
  4. Step 4: Simplify right side
    139,113x = 44,086,770,992.25
  5. Step 5: Solve for x
    x = 44,086,770,992.25/139,113
  6. Step 6: Final answer
    x = 316,913.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.