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Finding the Third Proportional to 134,964,379,458 and 290,240,433,909

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Solution

The third proportional to 134,964,379,458 and 290,240,433,909 is: 624,161,055,042.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,964,379,458 : 290,240,433,909 = 290,240,433,909 : x
  2. Step 2: Convert to fraction form
    134,964,379,458/290,240,433,909 = 290,240,433,909/x
  3. Step 3: Cross multiply
    134,964,379,458x = 290,240,433,909 × 290,240,433,909
  4. Step 4: Simplify right side
    134,964,379,458x = 84,239,509,475,684,597,628,928
  5. Step 5: Solve for x
    x = 84,239,509,475,684,597,628,928/134,964,379,458
  6. Step 6: Final answer
    x = 624,161,055,042.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.