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Finding the Third Proportional to 151,122,896,374 and 330,714,164,204

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Solution

The third proportional to 151,122,896,374 and 330,714,164,204 is: 723,727,913,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,122,896,374 : 330,714,164,204 = 330,714,164,204 : x
  2. Step 2: Convert to fraction form
    151,122,896,374/330,714,164,204 = 330,714,164,204/x
  3. Step 3: Cross multiply
    151,122,896,374x = 330,714,164,204 × 330,714,164,204
  4. Step 4: Simplify right side
    151,122,896,374x = 109,371,858,405,150,282,481,664
  5. Step 5: Solve for x
    x = 109,371,858,405,150,282,481,664/151,122,896,374
  6. Step 6: Final answer
    x = 723,727,913,038.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.