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Finding the Third Proportional to 163,924,186 and 267,645,106

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Solution

The third proportional to 163,924,186 and 267,645,106 is: 436,994,103.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,924,186 : 267,645,106 = 267,645,106 : x
  2. Step 2: Convert to fraction form
    163,924,186/267,645,106 = 267,645,106/x
  3. Step 3: Cross multiply
    163,924,186x = 267,645,106 × 267,645,106
  4. Step 4: Simplify right side
    163,924,186x = 71,633,902,765,751,232
  5. Step 5: Solve for x
    x = 71,633,902,765,751,232/163,924,186
  6. Step 6: Final answer
    x = 436,994,103.88

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.