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Finding the Third Proportional to 174,051,134 and 261,076,651

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Solution

The third proportional to 174,051,134 and 261,076,651 is: 391,614,901.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,051,134 : 261,076,651 = 261,076,651 : x
  2. Step 2: Convert to fraction form
    174,051,134/261,076,651 = 261,076,651/x
  3. Step 3: Cross multiply
    174,051,134x = 261,076,651 × 261,076,651
  4. Step 4: Simplify right side
    174,051,134x = 68,161,017,697,375,800
  5. Step 5: Solve for x
    x = 68,161,017,697,375,800/174,051,134
  6. Step 6: Final answer
    x = 391,614,901.50

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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.