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Finding the Third Proportional to 179,497,769 and 393,046,171

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Solution

The third proportional to 179,497,769 and 393,046,171 is: 860,652,995.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,497,769 : 393,046,171 = 393,046,171 : x
  2. Step 2: Convert to fraction form
    179,497,769/393,046,171 = 393,046,171/x
  3. Step 3: Cross multiply
    179,497,769x = 393,046,171 × 393,046,171
  4. Step 4: Simplify right side
    179,497,769x = 154,485,292,537,761,248
  5. Step 5: Solve for x
    x = 154,485,292,537,761,248/179,497,769
  6. Step 6: Final answer
    x = 860,652,995.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.