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Finding the Third Proportional to 69,902,459 and 104,853,698.50

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Solution

The third proportional to 69,902,459 and 104,853,698.50 is: 157,280,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,902,459 : 104,853,698.50 = 104,853,698.50 : x
  2. Step 2: Convert to fraction form
    69,902,459/104,853,698.50 = 104,853,698.50/x
  3. Step 3: Cross multiply
    69,902,459x = 104,853,698.50 × 104,853,698.50
  4. Step 4: Simplify right side
    69,902,459x = 10,994,298,089,128,902
  5. Step 5: Solve for x
    x = 10,994,298,089,128,902/69,902,459
  6. Step 6: Final answer
    x = 157,280,562.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.