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Finding the Third Proportional to 204,272,465.50 and 305,684,954

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Solution

The third proportional to 204,272,465.50 and 305,684,954 is: 457,444,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,272,465.50 : 305,684,954 = 305,684,954 : x
  2. Step 2: Convert to fraction form
    204,272,465.50/305,684,954 = 305,684,954/x
  3. Step 3: Cross multiply
    204,272,465.50x = 305,684,954 × 305,684,954
  4. Step 4: Simplify right side
    204,272,465.50x = 93,443,291,101,982,112
  5. Step 5: Solve for x
    x = 93,443,291,101,982,112/204,272,465.50
  6. Step 6: Final answer
    x = 457,444,378.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.