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Finding the Third Proportional to 193,431,064 and 424,862,168

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Solution

The third proportional to 193,431,064 and 424,862,168 is: 933,189,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,431,064 : 424,862,168 = 424,862,168 : x
  2. Step 2: Convert to fraction form
    193,431,064/424,862,168 = 424,862,168/x
  3. Step 3: Cross multiply
    193,431,064x = 424,862,168 × 424,862,168
  4. Step 4: Simplify right side
    193,431,064x = 180,507,861,797,660,224
  5. Step 5: Solve for x
    x = 180,507,861,797,660,224/193,431,064
  6. Step 6: Final answer
    x = 933,189,623.55

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Why These Related Problems?

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