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Finding the Third Proportional to 174,050,864 and 261,076,296

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Solution

The third proportional to 174,050,864 and 261,076,296 is: 391,614,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,050,864 : 261,076,296 = 261,076,296 : x
  2. Step 2: Convert to fraction form
    174,050,864/261,076,296 = 261,076,296/x
  3. Step 3: Cross multiply
    174,050,864x = 261,076,296 × 261,076,296
  4. Step 4: Simplify right side
    174,050,864x = 68,160,832,333,079,616
  5. Step 5: Solve for x
    x = 68,160,832,333,079,616/174,050,864
  6. Step 6: Final answer
    x = 391,614,444

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.