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Finding the Third Proportional to 48,484,432 and 104,659,968

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Solution

The third proportional to 48,484,432 and 104,659,968 is: 225,922,186.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,484,432 : 104,659,968 = 104,659,968 : x
  2. Step 2: Convert to fraction form
    48,484,432/104,659,968 = 104,659,968/x
  3. Step 3: Cross multiply
    48,484,432x = 104,659,968 × 104,659,968
  4. Step 4: Simplify right side
    48,484,432x = 10,953,708,901,761,024
  5. Step 5: Solve for x
    x = 10,953,708,901,761,024/48,484,432
  6. Step 6: Final answer
    x = 225,922,186.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.