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Finding the Third Proportional to 194,847,573 and 428,264,106

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Solution

The third proportional to 194,847,573 and 428,264,106 is: 941,300,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,847,573 : 428,264,106 = 428,264,106 : x
  2. Step 2: Convert to fraction form
    194,847,573/428,264,106 = 428,264,106/x
  3. Step 3: Cross multiply
    194,847,573x = 428,264,106 × 428,264,106
  4. Step 4: Simplify right side
    194,847,573x = 183,410,144,487,979,232
  5. Step 5: Solve for x
    x = 183,410,144,487,979,232/194,847,573
  6. Step 6: Final answer
    x = 941,300,636.51

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.