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Finding the Third Proportional to 263,703,573 and 387,933,115.50

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Solution

The third proportional to 263,703,573 and 387,933,115.50 is: 570,686,625.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,703,573 : 387,933,115.50 = 387,933,115.50 : x
  2. Step 2: Convert to fraction form
    263,703,573/387,933,115.50 = 387,933,115.50/x
  3. Step 3: Cross multiply
    263,703,573x = 387,933,115.50 × 387,933,115.50
  4. Step 4: Simplify right side
    263,703,573x = 150,492,102,101,536,352
  5. Step 5: Solve for x
    x = 150,492,102,101,536,352/263,703,573
  6. Step 6: Final answer
    x = 570,686,625.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.