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Finding the Third Proportional to 146,369,232 and 195,132,240

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Solution

The third proportional to 146,369,232 and 195,132,240 is: 260,140,676.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,369,232 : 195,132,240 = 195,132,240 : x
  2. Step 2: Convert to fraction form
    146,369,232/195,132,240 = 195,132,240/x
  3. Step 3: Cross multiply
    146,369,232x = 195,132,240 × 195,132,240
  4. Step 4: Simplify right side
    146,369,232x = 38,076,591,087,417,600
  5. Step 5: Solve for x
    x = 38,076,591,087,417,600/146,369,232
  6. Step 6: Final answer
    x = 260,140,676.88

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.