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Finding the Third Proportional to 194,976,962,905.50 and 424,568,089,579.50

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Solution

The third proportional to 194,976,962,905.50 and 424,568,089,579.50 is: 924,509,542,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976,962,905.50 : 424,568,089,579.50 = 424,568,089,579.50 : x
  2. Step 2: Convert to fraction form
    194,976,962,905.50/424,568,089,579.50 = 424,568,089,579.50/x
  3. Step 3: Cross multiply
    194,976,962,905.50x = 424,568,089,579.50 × 424,568,089,579.50
  4. Step 4: Simplify right side
    194,976,962,905.50x = 180,258,062,689,186,334,375,936
  5. Step 5: Solve for x
    x = 180,258,062,689,186,334,375,936/194,976,962,905.50
  6. Step 6: Final answer
    x = 924,509,542,066.02

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Why These Related Problems?

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