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Finding the Third Proportional to 138,072,370 and 214,383,676.50

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Solution

The third proportional to 138,072,370 and 214,383,676.50 is: 332,871,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,072,370 : 214,383,676.50 = 214,383,676.50 : x
  2. Step 2: Convert to fraction form
    138,072,370/214,383,676.50 = 214,383,676.50/x
  3. Step 3: Cross multiply
    138,072,370x = 214,383,676.50 × 214,383,676.50
  4. Step 4: Simplify right side
    138,072,370x = 45,960,360,749,656,656
  5. Step 5: Solve for x
    x = 45,960,360,749,656,656/138,072,370
  6. Step 6: Final answer
    x = 332,871,527.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.