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Finding the Third Proportional to 169,929,009 and 262,400,122.69

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Solution

The third proportional to 169,929,009 and 262,400,122.69 is: 405,191,702.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,929,009 : 262,400,122.69 = 262,400,122.69 : x
  2. Step 2: Convert to fraction form
    169,929,009/262,400,122.69 = 262,400,122.69/x
  3. Step 3: Cross multiply
    169,929,009x = 262,400,122.69 × 262,400,122.69
  4. Step 4: Simplify right side
    169,929,009x = 68,853,824,386,415,056
  5. Step 5: Solve for x
    x = 68,853,824,386,415,056/169,929,009
  6. Step 6: Final answer
    x = 405,191,702.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.