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Finding the Third Proportional to 204,467,695.50 and 440,113,263

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Solution

The third proportional to 204,467,695.50 and 440,113,263 is: 947,336,369.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467,695.50 : 440,113,263 = 440,113,263 : x
  2. Step 2: Convert to fraction form
    204,467,695.50/440,113,263 = 440,113,263/x
  3. Step 3: Cross multiply
    204,467,695.50x = 440,113,263 × 440,113,263
  4. Step 4: Simplify right side
    204,467,695.50x = 193,699,684,268,507,168
  5. Step 5: Solve for x
    x = 193,699,684,268,507,168/204,467,695.50
  6. Step 6: Final answer
    x = 947,336,369.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.