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Finding the Third Proportional to 222,406,076.53 and 463,219,773.26

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Solution

The third proportional to 222,406,076.53 and 463,219,773.26 is: 964,778,308.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,406,076.53 : 463,219,773.26 = 463,219,773.26 : x
  2. Step 2: Convert to fraction form
    222,406,076.53/463,219,773.26 = 463,219,773.26/x
  3. Step 3: Cross multiply
    222,406,076.53x = 463,219,773.26 × 463,219,773.26
  4. Step 4: Simplify right side
    222,406,076.53x = 214,572,558,337,026,176
  5. Step 5: Solve for x
    x = 214,572,558,337,026,176/222,406,076.53
  6. Step 6: Final answer
    x = 964,778,308.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.