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Finding the Third Proportional to 175,234,650.75 and 383,020,062.75

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Solution

The third proportional to 175,234,650.75 and 383,020,062.75 is: 837,188,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,234,650.75 : 383,020,062.75 = 383,020,062.75 : x
  2. Step 2: Convert to fraction form
    175,234,650.75/383,020,062.75 = 383,020,062.75/x
  3. Step 3: Cross multiply
    175,234,650.75x = 383,020,062.75 × 383,020,062.75
  4. Step 4: Simplify right side
    175,234,650.75x = 146,704,368,469,013,952
  5. Step 5: Solve for x
    x = 146,704,368,469,013,952/175,234,650.75
  6. Step 6: Final answer
    x = 837,188,123.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.