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Finding the Third Proportional to 111,469,946 and 233,103,691

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Solution

The third proportional to 111,469,946 and 233,103,691 is: 487,461,712.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,469,946 : 233,103,691 = 233,103,691 : x
  2. Step 2: Convert to fraction form
    111,469,946/233,103,691 = 233,103,691/x
  3. Step 3: Cross multiply
    111,469,946x = 233,103,691 × 233,103,691
  4. Step 4: Simplify right side
    111,469,946x = 54,337,330,757,823,480
  5. Step 5: Solve for x
    x = 54,337,330,757,823,480/111,469,946
  6. Step 6: Final answer
    x = 487,461,712.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.