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Finding the Third Proportional to 134,964,379,400 and 290,240,433,824

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Solution

The third proportional to 134,964,379,400 and 290,240,433,824 is: 624,161,054,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,964,379,400 : 290,240,433,824 = 290,240,433,824 : x
  2. Step 2: Convert to fraction form
    134,964,379,400/290,240,433,824 = 290,240,433,824/x
  3. Step 3: Cross multiply
    134,964,379,400x = 290,240,433,824 × 290,240,433,824
  4. Step 4: Simplify right side
    134,964,379,400x = 84,239,509,426,343,728,119,808
  5. Step 5: Solve for x
    x = 84,239,509,426,343,728,119,808/134,964,379,400
  6. Step 6: Final answer
    x = 624,161,054,945.32

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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.