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Finding the Third Proportional to 159,420,405,552 and 351,335,767,768.50

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Solution

The third proportional to 159,420,405,552 and 351,335,767,768.50 is: 774,284,956,095.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,420,405,552 : 351,335,767,768.50 = 351,335,767,768.50 : x
  2. Step 2: Convert to fraction form
    159,420,405,552/351,335,767,768.50 = 351,335,767,768.50/x
  3. Step 3: Cross multiply
    159,420,405,552x = 351,335,767,768.50 × 351,335,767,768.50
  4. Step 4: Simplify right side
    159,420,405,552x = 123,436,821,713,481,363,357,696
  5. Step 5: Solve for x
    x = 123,436,821,713,481,363,357,696/159,420,405,552
  6. Step 6: Final answer
    x = 774,284,956,095.03

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.