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Finding the Third Proportional to 127,031,233 and 194,197,827

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Solution

The third proportional to 127,031,233 and 194,197,827 is: 296,878,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,031,233 : 194,197,827 = 194,197,827 : x
  2. Step 2: Convert to fraction form
    127,031,233/194,197,827 = 194,197,827/x
  3. Step 3: Cross multiply
    127,031,233x = 194,197,827 × 194,197,827
  4. Step 4: Simplify right side
    127,031,233x = 37,712,796,011,521,928
  5. Step 5: Solve for x
    x = 37,712,796,011,521,928/127,031,233
  6. Step 6: Final answer
    x = 296,878,138.71

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Why These Related Problems?

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