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Finding the Third Proportional to 299,204,508,843 and 658,249,191,126

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Solution

The third proportional to 299,204,508,843 and 658,249,191,126 is: 1,448,146,618,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,204,508,843 : 658,249,191,126 = 658,249,191,126 : x
  2. Step 2: Convert to fraction form
    299,204,508,843/658,249,191,126 = 658,249,191,126/x
  3. Step 3: Cross multiply
    299,204,508,843x = 658,249,191,126 × 658,249,191,126
  4. Step 4: Simplify right side
    299,204,508,843x = 433,291,997,618,033,305,583,616
  5. Step 5: Solve for x
    x = 433,291,997,618,033,305,583,616/299,204,508,843
  6. Step 6: Final answer
    x = 1,448,146,618,156.05

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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.