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Finding the Third Proportional to 96,078,602,478 and 200,109,465,006

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Solution

The third proportional to 96,078,602,478 and 200,109,465,006 is: 416,781,644,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,078,602,478 : 200,109,465,006 = 200,109,465,006 : x
  2. Step 2: Convert to fraction form
    96,078,602,478/200,109,465,006 = 200,109,465,006/x
  3. Step 3: Cross multiply
    96,078,602,478x = 200,109,465,006 × 200,109,465,006
  4. Step 4: Simplify right side
    96,078,602,478x = 40,043,797,984,987,536,424,960
  5. Step 5: Solve for x
    x = 40,043,797,984,987,536,424,960/96,078,602,478
  6. Step 6: Final answer
    x = 416,781,644,946.98

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.