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Finding the Third Proportional to 193,524,242 and 299,646,723

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Solution

The third proportional to 193,524,242 and 299,646,723 is: 463,963,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,524,242 : 299,646,723 = 299,646,723 : x
  2. Step 2: Convert to fraction form
    193,524,242/299,646,723 = 299,646,723/x
  3. Step 3: Cross multiply
    193,524,242x = 299,646,723 × 299,646,723
  4. Step 4: Simplify right side
    193,524,242x = 89,788,158,604,638,736
  5. Step 5: Solve for x
    x = 89,788,158,604,638,736/193,524,242
  6. Step 6: Final answer
    x = 463,963,365.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.