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Finding the Third Proportional to 89,032,116,092 and 192,010,976,128

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Solution

The third proportional to 89,032,116,092 and 192,010,976,128 is: 414,100,176,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,032,116,092 : 192,010,976,128 = 192,010,976,128 : x
  2. Step 2: Convert to fraction form
    89,032,116,092/192,010,976,128 = 192,010,976,128/x
  3. Step 3: Cross multiply
    89,032,116,092x = 192,010,976,128 × 192,010,976,128
  4. Step 4: Simplify right side
    89,032,116,092x = 36,868,214,953,627,384,545,280
  5. Step 5: Solve for x
    x = 36,868,214,953,627,384,545,280/89,032,116,092
  6. Step 6: Final answer
    x = 414,100,176,115.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.