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Finding the Third Proportional to 55,228,122 and 120,152,812.50

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Solution

The third proportional to 55,228,122 and 120,152,812.50 is: 261,401,217.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,228,122 : 120,152,812.50 = 120,152,812.50 : x
  2. Step 2: Convert to fraction form
    55,228,122/120,152,812.50 = 120,152,812.50/x
  3. Step 3: Cross multiply
    55,228,122x = 120,152,812.50 × 120,152,812.50
  4. Step 4: Simplify right side
    55,228,122x = 14,436,698,351,660,156
  5. Step 5: Solve for x
    x = 14,436,698,351,660,156/55,228,122
  6. Step 6: Final answer
    x = 261,401,217.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.