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Finding the Third Proportional to 80,755,778,128 and 176,709,351,678

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Solution

The third proportional to 80,755,778,128 and 176,709,351,678 is: 386,674,436,112.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,755,778,128 : 176,709,351,678 = 176,709,351,678 : x
  2. Step 2: Convert to fraction form
    80,755,778,128/176,709,351,678 = 176,709,351,678/x
  3. Step 3: Cross multiply
    80,755,778,128x = 176,709,351,678 × 176,709,351,678
  4. Step 4: Simplify right side
    80,755,778,128x = 31,226,194,970,459,083,112,448
  5. Step 5: Solve for x
    x = 31,226,194,970,459,083,112,448/80,755,778,128
  6. Step 6: Final answer
    x = 386,674,436,112.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.