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Finding the Third Proportional to 198,076,242 and 434,416,194

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Solution

The third proportional to 198,076,242 and 434,416,194 is: 952,751,464.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,076,242 : 434,416,194 = 434,416,194 : x
  2. Step 2: Convert to fraction form
    198,076,242/434,416,194 = 434,416,194/x
  3. Step 3: Cross multiply
    198,076,242x = 434,416,194 × 434,416,194
  4. Step 4: Simplify right side
    198,076,242x = 188,717,429,609,445,632
  5. Step 5: Solve for x
    x = 188,717,429,609,445,632/198,076,242
  6. Step 6: Final answer
    x = 952,751,464.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.