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Finding the Third Proportional to 139,816.13 and 212,746.50

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Solution

The third proportional to 139,816.13 and 212,746.50 is: 323,718.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,816.13 : 212,746.50 = 212,746.50 : x
  2. Step 2: Convert to fraction form
    139,816.13/212,746.50 = 212,746.50/x
  3. Step 3: Cross multiply
    139,816.13x = 212,746.50 × 212,746.50
  4. Step 4: Simplify right side
    139,816.13x = 45,261,073,262.25
  5. Step 5: Solve for x
    x = 45,261,073,262.25/139,816.13
  6. Step 6: Final answer
    x = 323,718.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.