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Finding the Third Proportional to 78,893,652,834 and 168,957,965,122

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Solution

The third proportional to 78,893,652,834 and 168,957,965,122 is: 361,838,917,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,893,652,834 : 168,957,965,122 = 168,957,965,122 : x
  2. Step 2: Convert to fraction form
    78,893,652,834/168,957,965,122 = 168,957,965,122/x
  3. Step 3: Cross multiply
    78,893,652,834x = 168,957,965,122 × 168,957,965,122
  4. Step 4: Simplify right side
    78,893,652,834x = 28,546,793,978,166,966,747,136
  5. Step 5: Solve for x
    x = 28,546,793,978,166,966,747,136/78,893,652,834
  6. Step 6: Final answer
    x = 361,838,917,995.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.