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Finding the Third Proportional to 51,116,949 and 110,028,368.25

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Solution

The third proportional to 51,116,949 and 110,028,368.25 is: 236,834,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,116,949 : 110,028,368.25 = 110,028,368.25 : x
  2. Step 2: Convert to fraction form
    51,116,949/110,028,368.25 = 110,028,368.25/x
  3. Step 3: Cross multiply
    51,116,949x = 110,028,368.25 × 110,028,368.25
  4. Step 4: Simplify right side
    51,116,949x = 12,106,241,819,757,608
  5. Step 5: Solve for x
    x = 12,106,241,819,757,608/51,116,949
  6. Step 6: Final answer
    x = 236,834,201.90

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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.