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Finding the Third Proportional to 299,204,508,841 and 658,249,191,122

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Solution

The third proportional to 299,204,508,841 and 658,249,191,122 is: 1,448,146,618,148.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204,508,841 : 658,249,191,122 = 658,249,191,122 : x
  2. Step 2: Convert to fraction form
    299,204,508,841/658,249,191,122 = 658,249,191,122/x
  3. Step 3: Cross multiply
    299,204,508,841x = 658,249,191,122 × 658,249,191,122
  4. Step 4: Simplify right side
    299,204,508,841x = 433,291,997,612,767,273,025,536
  5. Step 5: Solve for x
    x = 433,291,997,612,767,273,025,536/299,204,508,841
  6. Step 6: Final answer
    x = 1,448,146,618,148.13

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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.