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Finding the Third Proportional to 89,032,116,090 and 192,010,976,124

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Solution

The third proportional to 89,032,116,090 and 192,010,976,124 is: 414,100,176,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,032,116,090 : 192,010,976,124 = 192,010,976,124 : x
  2. Step 2: Convert to fraction form
    89,032,116,090/192,010,976,124 = 192,010,976,124/x
  3. Step 3: Cross multiply
    89,032,116,090x = 192,010,976,124 × 192,010,976,124
  4. Step 4: Simplify right side
    89,032,116,090x = 36,868,214,952,091,296,202,752
  5. Step 5: Solve for x
    x = 36,868,214,952,091,296,202,752/89,032,116,090
  6. Step 6: Final answer
    x = 414,100,176,107.49

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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.