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Finding the Third Proportional to 65,971,941 and 100,664,251.50

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Solution

The third proportional to 65,971,941 and 100,664,251.50 is: 153,600,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971,941 : 100,664,251.50 = 100,664,251.50 : x
  2. Step 2: Convert to fraction form
    65,971,941/100,664,251.50 = 100,664,251.50/x
  3. Step 3: Cross multiply
    65,971,941x = 100,664,251.50 × 100,664,251.50
  4. Step 4: Simplify right side
    65,971,941x = 10,133,291,530,055,252
  5. Step 5: Solve for x
    x = 10,133,291,530,055,252/65,971,941
  6. Step 6: Final answer
    x = 153,600,021.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.