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Finding the Third Proportional to 139,722 and 221,398.50

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Solution

The third proportional to 139,722 and 221,398.50 is: 350,820.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,722 : 221,398.50 = 221,398.50 : x
  2. Step 2: Convert to fraction form
    139,722/221,398.50 = 221,398.50/x
  3. Step 3: Cross multiply
    139,722x = 221,398.50 × 221,398.50
  4. Step 4: Simplify right side
    139,722x = 49,017,295,802.25
  5. Step 5: Solve for x
    x = 49,017,295,802.25/139,722
  6. Step 6: Final answer
    x = 350,820.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.