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Finding the Third Proportional to 104,331,789,159 and 225,987,994,438.50

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Solution

The third proportional to 104,331,789,159 and 225,987,994,438.50 is: 489,501,560,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,331,789,159 : 225,987,994,438.50 = 225,987,994,438.50 : x
  2. Step 2: Convert to fraction form
    104,331,789,159/225,987,994,438.50 = 225,987,994,438.50/x
  3. Step 3: Cross multiply
    104,331,789,159x = 225,987,994,438.50 × 225,987,994,438.50
  4. Step 4: Simplify right side
    104,331,789,159x = 51,070,573,630,335,506,972,672
  5. Step 5: Solve for x
    x = 51,070,573,630,335,506,972,672/104,331,789,159
  6. Step 6: Final answer
    x = 489,501,560,761.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.