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Finding the Third Proportional to 211,243,841 and 323,139,240

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Solution

The third proportional to 211,243,841 and 323,139,240 is: 494,305,386.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,243,841 : 323,139,240 = 323,139,240 : x
  2. Step 2: Convert to fraction form
    211,243,841/323,139,240 = 323,139,240/x
  3. Step 3: Cross multiply
    211,243,841x = 323,139,240 × 323,139,240
  4. Step 4: Simplify right side
    211,243,841x = 104,418,968,427,777,600
  5. Step 5: Solve for x
    x = 104,418,968,427,777,600/211,243,841
  6. Step 6: Final answer
    x = 494,305,386.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.