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Finding the Third Proportional to 224,830,095.19 and 520,449,256.97

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Solution

The third proportional to 224,830,095.19 and 520,449,256.97 is: 1,204,764,997.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,830,095.19 : 520,449,256.97 = 520,449,256.97 : x
  2. Step 2: Convert to fraction form
    224,830,095.19/520,449,256.97 = 520,449,256.97/x
  3. Step 3: Cross multiply
    224,830,095.19x = 520,449,256.97 × 520,449,256.97
  4. Step 4: Simplify right side
    224,830,095.19x = 270,867,429,079,323,968
  5. Step 5: Solve for x
    x = 270,867,429,079,323,968/224,830,095.19
  6. Step 6: Final answer
    x = 1,204,764,997.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.