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Finding the Third Proportional to 68,254,571 and 96,578,148

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Solution

The third proportional to 68,254,571 and 96,578,148 is: 136,655,150.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,254,571 : 96,578,148 = 96,578,148 : x
  2. Step 2: Convert to fraction form
    68,254,571/96,578,148 = 96,578,148/x
  3. Step 3: Cross multiply
    68,254,571x = 96,578,148 × 96,578,148
  4. Step 4: Simplify right side
    68,254,571x = 9,327,338,671,109,904
  5. Step 5: Solve for x
    x = 9,327,338,671,109,904/68,254,571
  6. Step 6: Final answer
    x = 136,655,150.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.