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Finding the Third Proportional to 256,500,447 and 538,195,134

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Solution

The third proportional to 256,500,447 and 538,195,134 is: 1,129,253,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,500,447 : 538,195,134 = 538,195,134 : x
  2. Step 2: Convert to fraction form
    256,500,447/538,195,134 = 538,195,134/x
  3. Step 3: Cross multiply
    256,500,447x = 538,195,134 × 538,195,134
  4. Step 4: Simplify right side
    256,500,447x = 289,654,002,261,277,952
  5. Step 5: Solve for x
    x = 289,654,002,261,277,952/256,500,447
  6. Step 6: Final answer
    x = 1,129,253,401.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.