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Finding the Third Proportional to 111,848,688 and 239,242,086

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Solution

The third proportional to 111,848,688 and 239,242,086 is: 511,733,992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,848,688 : 239,242,086 = 239,242,086 : x
  2. Step 2: Convert to fraction form
    111,848,688/239,242,086 = 239,242,086/x
  3. Step 3: Cross multiply
    111,848,688x = 239,242,086 × 239,242,086
  4. Step 4: Simplify right side
    111,848,688x = 57,236,775,713,631,392
  5. Step 5: Solve for x
    x = 57,236,775,713,631,392/111,848,688
  6. Step 6: Final answer
    x = 511,733,992.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.