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Finding the Third Proportional to 150,301,980 and 232,725,831.75

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Solution

The third proportional to 150,301,980 and 232,725,831.75 is: 360,349,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,301,980 : 232,725,831.75 = 232,725,831.75 : x
  2. Step 2: Convert to fraction form
    150,301,980/232,725,831.75 = 232,725,831.75/x
  3. Step 3: Cross multiply
    150,301,980x = 232,725,831.75 × 232,725,831.75
  4. Step 4: Simplify right side
    150,301,980x = 54,161,312,763,729,312
  5. Step 5: Solve for x
    x = 54,161,312,763,729,312/150,301,980
  6. Step 6: Final answer
    x = 360,349,961.88

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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.