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Finding the Third Proportional to 139,404 and 221,539.50

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Solution

The third proportional to 139,404 and 221,539.50 is: 352,068.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,404 : 221,539.50 = 221,539.50 : x
  2. Step 2: Convert to fraction form
    139,404/221,539.50 = 221,539.50/x
  3. Step 3: Cross multiply
    139,404x = 221,539.50 × 221,539.50
  4. Step 4: Simplify right side
    139,404x = 49,079,750,060.25
  5. Step 5: Solve for x
    x = 49,079,750,060.25/139,404
  6. Step 6: Final answer
    x = 352,068.45

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.