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Finding the Third Proportional to 208,241,136,993 and 293,249,408,838

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Solution

The third proportional to 208,241,136,993 and 293,249,408,838 is: 412,959,787,991.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,241,136,993 : 293,249,408,838 = 293,249,408,838 : x
  2. Step 2: Convert to fraction form
    208,241,136,993/293,249,408,838 = 293,249,408,838/x
  3. Step 3: Cross multiply
    208,241,136,993x = 293,249,408,838 × 293,249,408,838
  4. Step 4: Simplify right side
    208,241,136,993x = 85,995,215,783,836,472,311,808
  5. Step 5: Solve for x
    x = 85,995,215,783,836,472,311,808/208,241,136,993
  6. Step 6: Final answer
    x = 412,959,787,991.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.