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Finding the Third Proportional to 204,467,724 and 440,113,324.50

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Solution

The third proportional to 204,467,724 and 440,113,324.50 is: 947,336,501.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,467,724 : 440,113,324.50 = 440,113,324.50 : x
  2. Step 2: Convert to fraction form
    204,467,724/440,113,324.50 = 440,113,324.50/x
  3. Step 3: Cross multiply
    204,467,724x = 440,113,324.50 × 440,113,324.50
  4. Step 4: Simplify right side
    204,467,724x = 193,699,738,402,442,304
  5. Step 5: Solve for x
    x = 193,699,738,402,442,304/204,467,724
  6. Step 6: Final answer
    x = 947,336,501.88

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Why These Related Problems?

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