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Finding the Third Proportional to 110,650,210 and 177,785,114

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Solution

The third proportional to 110,650,210 and 177,785,114 is: 285,652,840.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,650,210 : 177,785,114 = 177,785,114 : x
  2. Step 2: Convert to fraction form
    110,650,210/177,785,114 = 177,785,114/x
  3. Step 3: Cross multiply
    110,650,210x = 177,785,114 × 177,785,114
  4. Step 4: Simplify right side
    110,650,210x = 31,607,546,759,992,996
  5. Step 5: Solve for x
    x = 31,607,546,759,992,996/110,650,210
  6. Step 6: Final answer
    x = 285,652,840.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.