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Finding the Third Proportional to 169,796,495 and 269,298,071

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Solution

The third proportional to 169,796,495 and 269,298,071 is: 427,108,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,495 : 269,298,071 = 269,298,071 : x
  2. Step 2: Convert to fraction form
    169,796,495/269,298,071 = 269,298,071/x
  3. Step 3: Cross multiply
    169,796,495x = 269,298,071 × 269,298,071
  4. Step 4: Simplify right side
    169,796,495x = 72,521,451,044,321,040
  5. Step 5: Solve for x
    x = 72,521,451,044,321,040/169,796,495
  6. Step 6: Final answer
    x = 427,108,056.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.