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Finding the Third Proportional to 263,701,176 and 387,930,798

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Solution

The third proportional to 263,701,176 and 387,930,798 is: 570,684,993.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,701,176 : 387,930,798 = 387,930,798 : x
  2. Step 2: Convert to fraction form
    263,701,176/387,930,798 = 387,930,798/x
  3. Step 3: Cross multiply
    263,701,176x = 387,930,798 × 387,930,798
  4. Step 4: Simplify right side
    263,701,176x = 150,490,304,036,916,800
  5. Step 5: Solve for x
    x = 150,490,304,036,916,800/263,701,176
  6. Step 6: Final answer
    x = 570,684,993.98

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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.