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Finding the Third Proportional to 150,817,680 and 230,609,232

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Solution

The third proportional to 150,817,680 and 230,609,232 is: 352,615,276.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,817,680 : 230,609,232 = 230,609,232 : x
  2. Step 2: Convert to fraction form
    150,817,680/230,609,232 = 230,609,232/x
  3. Step 3: Cross multiply
    150,817,680x = 230,609,232 × 230,609,232
  4. Step 4: Simplify right side
    150,817,680x = 53,180,617,883,629,824
  5. Step 5: Solve for x
    x = 53,180,617,883,629,824/150,817,680
  6. Step 6: Final answer
    x = 352,615,276.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.