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Finding the Third Proportional to 81,852,933.75 and 122,749,344.75

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Solution

The third proportional to 81,852,933.75 and 122,749,344.75 is: 184,078,944.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,852,933.75 : 122,749,344.75 = 122,749,344.75 : x
  2. Step 2: Convert to fraction form
    81,852,933.75/122,749,344.75 = 122,749,344.75/x
  3. Step 3: Cross multiply
    81,852,933.75x = 122,749,344.75 × 122,749,344.75
  4. Step 4: Simplify right side
    81,852,933.75x = 15,067,401,636,554,352
  5. Step 5: Solve for x
    x = 15,067,401,636,554,352/81,852,933.75
  6. Step 6: Final answer
    x = 184,078,944.35

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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.