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Finding the Third Proportional to 106,348,529.25 and 230,847,336

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Solution

The third proportional to 106,348,529.25 and 230,847,336 is: 501,092,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,348,529.25 : 230,847,336 = 230,847,336 : x
  2. Step 2: Convert to fraction form
    106,348,529.25/230,847,336 = 230,847,336/x
  3. Step 3: Cross multiply
    106,348,529.25x = 230,847,336 × 230,847,336
  4. Step 4: Simplify right side
    106,348,529.25x = 53,290,492,538,296,896
  5. Step 5: Solve for x
    x = 53,290,492,538,296,896/106,348,529.25
  6. Step 6: Final answer
    x = 501,092,896.29

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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.