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Finding the Third Proportional to 127,241,226,948 and 189,758,419,299

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Solution

The third proportional to 127,241,226,948 and 189,758,419,299 is: 282,992,066,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,241,226,948 : 189,758,419,299 = 189,758,419,299 : x
  2. Step 2: Convert to fraction form
    127,241,226,948/189,758,419,299 = 189,758,419,299/x
  3. Step 3: Cross multiply
    127,241,226,948x = 189,758,419,299 × 189,758,419,299
  4. Step 4: Simplify right side
    127,241,226,948x = 36,008,257,694,855,094,861,824
  5. Step 5: Solve for x
    x = 36,008,257,694,855,094,861,824/127,241,226,948
  6. Step 6: Final answer
    x = 282,992,066,003.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.