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Finding the Third Proportional to 80,755,778,122 and 176,709,351,666

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Solution

The third proportional to 80,755,778,122 and 176,709,351,666 is: 386,674,436,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,755,778,122 : 176,709,351,666 = 176,709,351,666 : x
  2. Step 2: Convert to fraction form
    80,755,778,122/176,709,351,666 = 176,709,351,666/x
  3. Step 3: Cross multiply
    80,755,778,122x = 176,709,351,666 × 176,709,351,666
  4. Step 4: Simplify right side
    80,755,778,122x = 31,226,194,966,218,058,760,192
  5. Step 5: Solve for x
    x = 31,226,194,966,218,058,760,192/80,755,778,122
  6. Step 6: Final answer
    x = 386,674,436,088.57

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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.