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Finding the Third Proportional to 224,830,104 and 520,449,276

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Solution

The third proportional to 224,830,104 and 520,449,276 is: 1,204,765,038.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,830,104 : 520,449,276 = 520,449,276 : x
  2. Step 2: Convert to fraction form
    224,830,104/520,449,276 = 520,449,276/x
  3. Step 3: Cross multiply
    224,830,104x = 520,449,276 × 520,449,276
  4. Step 4: Simplify right side
    224,830,104x = 270,867,448,888,924,160
  5. Step 5: Solve for x
    x = 270,867,448,888,924,160/224,830,104
  6. Step 6: Final answer
    x = 1,204,765,038.44

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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.