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Finding the Third Proportional to 119,076,226 and 256,398,046

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Solution

The third proportional to 119,076,226 and 256,398,046 is: 552,082,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,076,226 : 256,398,046 = 256,398,046 : x
  2. Step 2: Convert to fraction form
    119,076,226/256,398,046 = 256,398,046/x
  3. Step 3: Cross multiply
    119,076,226x = 256,398,046 × 256,398,046
  4. Step 4: Simplify right side
    119,076,226x = 65,739,957,992,618,112
  5. Step 5: Solve for x
    x = 65,739,957,992,618,112/119,076,226
  6. Step 6: Final answer
    x = 552,082,982.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.