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Finding the Third Proportional to 176,384,658 and 274,219,196.25

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Solution

The third proportional to 176,384,658 and 274,219,196.25 is: 426,319,207.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384,658 : 274,219,196.25 = 274,219,196.25 : x
  2. Step 2: Convert to fraction form
    176,384,658/274,219,196.25 = 274,219,196.25/x
  3. Step 3: Cross multiply
    176,384,658x = 274,219,196.25 × 274,219,196.25
  4. Step 4: Simplify right side
    176,384,658x = 75,196,167,591,996,016
  5. Step 5: Solve for x
    x = 75,196,167,591,996,016/176,384,658
  6. Step 6: Final answer
    x = 426,319,207.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.