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Finding the Third Proportional to 77,143,110 and 160,676,796

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Solution

The third proportional to 77,143,110 and 160,676,796 is: 334,664,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,143,110 : 160,676,796 = 160,676,796 : x
  2. Step 2: Convert to fraction form
    77,143,110/160,676,796 = 160,676,796/x
  3. Step 3: Cross multiply
    77,143,110x = 160,676,796 × 160,676,796
  4. Step 4: Simplify right side
    77,143,110x = 25,817,032,772,825,616
  5. Step 5: Solve for x
    x = 25,817,032,772,825,616/77,143,110
  6. Step 6: Final answer
    x = 334,664,142.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.