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Finding the Third Proportional to 176,384,657.50 and 274,219,195.50

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Solution

The third proportional to 176,384,657.50 and 274,219,195.50 is: 426,319,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,384,657.50 : 274,219,195.50 = 274,219,195.50 : x
  2. Step 2: Convert to fraction form
    176,384,657.50/274,219,195.50 = 274,219,195.50/x
  3. Step 3: Cross multiply
    176,384,657.50x = 274,219,195.50 × 274,219,195.50
  4. Step 4: Simplify right side
    176,384,657.50x = 75,196,167,180,667,216
  5. Step 5: Solve for x
    x = 75,196,167,180,667,216/176,384,657.50
  6. Step 6: Final answer
    x = 426,319,206.25

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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.