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Finding the Third Proportional to 80,755,778,120 and 176,709,351,662

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Solution

The third proportional to 80,755,778,120 and 176,709,351,662 is: 386,674,436,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,755,778,120 : 176,709,351,662 = 176,709,351,662 : x
  2. Step 2: Convert to fraction form
    80,755,778,120/176,709,351,662 = 176,709,351,662/x
  3. Step 3: Cross multiply
    80,755,778,120x = 176,709,351,662 × 176,709,351,662
  4. Step 4: Simplify right side
    80,755,778,120x = 31,226,194,964,804,381,179,904
  5. Step 5: Solve for x
    x = 31,226,194,964,804,381,179,904/80,755,778,120
  6. Step 6: Final answer
    x = 386,674,436,080.64

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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.