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Finding the Third Proportional to 186,190,173 and 395,076,096

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Solution

The third proportional to 186,190,173 and 395,076,096 is: 838,310,202.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,190,173 : 395,076,096 = 395,076,096 : x
  2. Step 2: Convert to fraction form
    186,190,173/395,076,096 = 395,076,096/x
  3. Step 3: Cross multiply
    186,190,173x = 395,076,096 × 395,076,096
  4. Step 4: Simplify right side
    186,190,173x = 156,085,121,630,601,216
  5. Step 5: Solve for x
    x = 156,085,121,630,601,216/186,190,173
  6. Step 6: Final answer
    x = 838,310,202.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.