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Finding the Third Proportional to 157,722,512 and 343,218,004

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Solution

The third proportional to 157,722,512 and 343,218,004 is: 746,872,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,722,512 : 343,218,004 = 343,218,004 : x
  2. Step 2: Convert to fraction form
    157,722,512/343,218,004 = 343,218,004/x
  3. Step 3: Cross multiply
    157,722,512x = 343,218,004 × 343,218,004
  4. Step 4: Simplify right side
    157,722,512x = 117,798,598,269,744,016
  5. Step 5: Solve for x
    x = 117,798,598,269,744,016/157,722,512
  6. Step 6: Final answer
    x = 746,872,445.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.