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Finding the Third Proportional to 82,139,380 and 122,953,191

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Solution

The third proportional to 82,139,380 and 122,953,191 is: 184,046,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,139,380 : 122,953,191 = 122,953,191 : x
  2. Step 2: Convert to fraction form
    82,139,380/122,953,191 = 122,953,191/x
  3. Step 3: Cross multiply
    82,139,380x = 122,953,191 × 122,953,191
  4. Step 4: Simplify right side
    82,139,380x = 15,117,487,177,082,480
  5. Step 5: Solve for x
    x = 15,117,487,177,082,480/82,139,380
  6. Step 6: Final answer
    x = 184,046,765.11

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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.