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Finding the Third Proportional to 105,844,600 and 227,905,076

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Solution

The third proportional to 105,844,600 and 227,905,076 is: 490,726,250.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844,600 : 227,905,076 = 227,905,076 : x
  2. Step 2: Convert to fraction form
    105,844,600/227,905,076 = 227,905,076/x
  3. Step 3: Cross multiply
    105,844,600x = 227,905,076 × 227,905,076
  4. Step 4: Simplify right side
    105,844,600x = 51,940,723,666,565,776
  5. Step 5: Solve for x
    x = 51,940,723,666,565,776/105,844,600
  6. Step 6: Final answer
    x = 490,726,250.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.