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Finding the Third Proportional to 150,301,924 and 232,725,756

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Solution

The third proportional to 150,301,924 and 232,725,756 is: 360,349,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,301,924 : 232,725,756 = 232,725,756 : x
  2. Step 2: Convert to fraction form
    150,301,924/232,725,756 = 232,725,756/x
  3. Step 3: Cross multiply
    150,301,924x = 232,725,756 × 232,725,756
  4. Step 4: Simplify right side
    150,301,924x = 54,161,277,505,771,536
  5. Step 5: Solve for x
    x = 54,161,277,505,771,536/150,301,924
  6. Step 6: Final answer
    x = 360,349,861.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.