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Finding the Third Proportional to 76,788,039 and 165,848,293.50

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Solution

The third proportional to 76,788,039 and 165,848,293.50 is: 358,202,355.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788,039 : 165,848,293.50 = 165,848,293.50 : x
  2. Step 2: Convert to fraction form
    76,788,039/165,848,293.50 = 165,848,293.50/x
  3. Step 3: Cross multiply
    76,788,039x = 165,848,293.50 × 165,848,293.50
  4. Step 4: Simplify right side
    76,788,039x = 27,505,656,456,862,144
  5. Step 5: Solve for x
    x = 27,505,656,456,862,144/76,788,039
  6. Step 6: Final answer
    x = 358,202,355.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.