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Finding the Third Proportional to 215,018,187 and 332,032,738.50

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Solution

The third proportional to 215,018,187 and 332,032,738.50 is: 512,727,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,018,187 : 332,032,738.50 = 332,032,738.50 : x
  2. Step 2: Convert to fraction form
    215,018,187/332,032,738.50 = 332,032,738.50/x
  3. Step 3: Cross multiply
    215,018,187x = 332,032,738.50 × 332,032,738.50
  4. Step 4: Simplify right side
    215,018,187x = 110,245,739,435,809,376
  5. Step 5: Solve for x
    x = 110,245,739,435,809,376/215,018,187
  6. Step 6: Final answer
    x = 512,727,509.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.