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Finding the Third Proportional to 201,298,345 and 440,277,242

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Solution

The third proportional to 201,298,345 and 440,277,242 is: 962,968,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,298,345 : 440,277,242 = 440,277,242 : x
  2. Step 2: Convert to fraction form
    201,298,345/440,277,242 = 440,277,242/x
  3. Step 3: Cross multiply
    201,298,345x = 440,277,242 × 440,277,242
  4. Step 4: Simplify right side
    201,298,345x = 193,844,049,823,126,560
  5. Step 5: Solve for x
    x = 193,844,049,823,126,560/201,298,345
  6. Step 6: Final answer
    x = 962,968,919.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.