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Finding the Third Proportional to 150,127,590 and 326,076,918

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Solution

The third proportional to 150,127,590 and 326,076,918 is: 708,238,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,127,590 : 326,076,918 = 326,076,918 : x
  2. Step 2: Convert to fraction form
    150,127,590/326,076,918 = 326,076,918/x
  3. Step 3: Cross multiply
    150,127,590x = 326,076,918 × 326,076,918
  4. Step 4: Simplify right side
    150,127,590x = 106,326,156,452,378,720
  5. Step 5: Solve for x
    x = 106,326,156,452,378,720/150,127,590
  6. Step 6: Final answer
    x = 708,238,615.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.