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Finding the Third Proportional to 165,860,487 and 359,914,014

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Solution

The third proportional to 165,860,487 and 359,914,014 is: 781,006,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,860,487 : 359,914,014 = 359,914,014 : x
  2. Step 2: Convert to fraction form
    165,860,487/359,914,014 = 359,914,014/x
  3. Step 3: Cross multiply
    165,860,487x = 359,914,014 × 359,914,014
  4. Step 4: Simplify right side
    165,860,487x = 129,538,097,473,592,192
  5. Step 5: Solve for x
    x = 129,538,097,473,592,192/165,860,487
  6. Step 6: Final answer
    x = 781,006,373.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.