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Finding the Third Proportional to 51,052,005 and 109,280,106

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Solution

The third proportional to 51,052,005 and 109,280,106 is: 233,921,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,052,005 : 109,280,106 = 109,280,106 : x
  2. Step 2: Convert to fraction form
    51,052,005/109,280,106 = 109,280,106/x
  3. Step 3: Cross multiply
    51,052,005x = 109,280,106 × 109,280,106
  4. Step 4: Simplify right side
    51,052,005x = 11,942,141,567,371,236
  5. Step 5: Solve for x
    x = 11,942,141,567,371,236/51,052,005
  6. Step 6: Final answer
    x = 233,921,107.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.