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Finding the Third Proportional to 160,606,236,285 and 240,272,580,501

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Solution

The third proportional to 160,606,236,285 and 240,272,580,501 is: 359,456,234,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,606,236,285 : 240,272,580,501 = 240,272,580,501 : x
  2. Step 2: Convert to fraction form
    160,606,236,285/240,272,580,501 = 240,272,580,501/x
  3. Step 3: Cross multiply
    160,606,236,285x = 240,272,580,501 × 240,272,580,501
  4. Step 4: Simplify right side
    160,606,236,285x = 57,730,912,940,609,524,203,520
  5. Step 5: Solve for x
    x = 57,730,912,940,609,524,203,520/160,606,236,285
  6. Step 6: Final answer
    x = 359,456,234,552.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.