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Finding the Third Proportional to 107,741,160 and 230,609,232

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Solution

The third proportional to 107,741,160 and 230,609,232 is: 493,596,113.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,741,160 : 230,609,232 = 230,609,232 : x
  2. Step 2: Convert to fraction form
    107,741,160/230,609,232 = 230,609,232/x
  3. Step 3: Cross multiply
    107,741,160x = 230,609,232 × 230,609,232
  4. Step 4: Simplify right side
    107,741,160x = 53,180,617,883,629,824
  5. Step 5: Solve for x
    x = 53,180,617,883,629,824/107,741,160
  6. Step 6: Final answer
    x = 493,596,113.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.