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Finding the Third Proportional to 150,301,984 and 232,725,838

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Solution

The third proportional to 150,301,984 and 232,725,838 is: 360,349,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,301,984 : 232,725,838 = 232,725,838 : x
  2. Step 2: Convert to fraction form
    150,301,984/232,725,838 = 232,725,838/x
  3. Step 3: Cross multiply
    150,301,984x = 232,725,838 × 232,725,838
  4. Step 4: Simplify right side
    150,301,984x = 54,161,315,672,802,240
  5. Step 5: Solve for x
    x = 54,161,315,672,802,240/150,301,984
  6. Step 6: Final answer
    x = 360,349,971.65

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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.