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Finding the Third Proportional to 226,050,732 and 488,239,128

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Solution

The third proportional to 226,050,732 and 488,239,128 is: 1,054,530,741.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,050,732 : 488,239,128 = 488,239,128 : x
  2. Step 2: Convert to fraction form
    226,050,732/488,239,128 = 488,239,128/x
  3. Step 3: Cross multiply
    226,050,732x = 488,239,128 × 488,239,128
  4. Step 4: Simplify right side
    226,050,732x = 238,377,446,110,200,384
  5. Step 5: Solve for x
    x = 238,377,446,110,200,384/226,050,732
  6. Step 6: Final answer
    x = 1,054,530,741.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.