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Finding the Third Proportional to 222,886,151,256 and 340,811,569,782

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Solution

The third proportional to 222,886,151,256 and 340,811,569,782 is: 521,129,399,214.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,886,151,256 : 340,811,569,782 = 340,811,569,782 : x
  2. Step 2: Convert to fraction form
    222,886,151,256/340,811,569,782 = 340,811,569,782/x
  3. Step 3: Cross multiply
    222,886,151,256x = 340,811,569,782 × 340,811,569,782
  4. Step 4: Simplify right side
    222,886,151,256x = 116,152,526,097,271,048,110,080
  5. Step 5: Solve for x
    x = 116,152,526,097,271,048,110,080/222,886,151,256
  6. Step 6: Final answer
    x = 521,129,399,214.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.