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Finding the Third Proportional to 121,764,717,072 and 186,286,383,144

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Solution

The third proportional to 121,764,717,072 and 186,286,383,144 is: 284,997,307,753.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,764,717,072 : 186,286,383,144 = 186,286,383,144 : x
  2. Step 2: Convert to fraction form
    121,764,717,072/186,286,383,144 = 186,286,383,144/x
  3. Step 3: Cross multiply
    121,764,717,072x = 186,286,383,144 × 186,286,383,144
  4. Step 4: Simplify right side
    121,764,717,072x = 34,702,616,544,873,168,240,640
  5. Step 5: Solve for x
    x = 34,702,616,544,873,168,240,640/121,764,717,072
  6. Step 6: Final answer
    x = 284,997,307,753.39

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