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Finding the Third Proportional to 194,976,962,902 and 424,568,089,572

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Solution

The third proportional to 194,976,962,902 and 424,568,089,572 is: 924,509,542,049.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,976,962,902 : 424,568,089,572 = 424,568,089,572 : x
  2. Step 2: Convert to fraction form
    194,976,962,902/424,568,089,572 = 424,568,089,572/x
  3. Step 3: Cross multiply
    194,976,962,902x = 424,568,089,572 × 424,568,089,572
  4. Step 4: Simplify right side
    194,976,962,902x = 180,258,062,682,817,803,845,632
  5. Step 5: Solve for x
    x = 180,258,062,682,817,803,845,632/194,976,962,902
  6. Step 6: Final answer
    x = 924,509,542,049.95

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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.