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Finding the Third Proportional to 195,350,255,653 and 423,154,151,714

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Solution

The third proportional to 195,350,255,653 and 423,154,151,714 is: 916,607,124,542.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,350,255,653 : 423,154,151,714 = 423,154,151,714 : x
  2. Step 2: Convert to fraction form
    195,350,255,653/423,154,151,714 = 423,154,151,714/x
  3. Step 3: Cross multiply
    195,350,255,653x = 423,154,151,714 × 423,154,151,714
  4. Step 4: Simplify right side
    195,350,255,653x = 179,059,436,112,794,934,575,104
  5. Step 5: Solve for x
    x = 179,059,436,112,794,934,575,104/195,350,255,653
  6. Step 6: Final answer
    x = 916,607,124,542.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.