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Finding the Third Proportional to 51,116,939.50 and 110,028,347.50

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Solution

The third proportional to 51,116,939.50 and 110,028,347.50 is: 236,834,156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116,939.50 : 110,028,347.50 = 110,028,347.50 : x
  2. Step 2: Convert to fraction form
    51,116,939.50/110,028,347.50 = 110,028,347.50/x
  3. Step 3: Cross multiply
    51,116,939.50x = 110,028,347.50 × 110,028,347.50
  4. Step 4: Simplify right side
    51,116,939.50x = 12,106,237,253,580,756
  5. Step 5: Solve for x
    x = 12,106,237,253,580,756/51,116,939.50
  6. Step 6: Final answer
    x = 236,834,156.58

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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.