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Finding the Third Proportional to 114,575,844 and 234,446,416

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Solution

The third proportional to 114,575,844 and 234,446,416 is: 479,726,965.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,575,844 : 234,446,416 = 234,446,416 : x
  2. Step 2: Convert to fraction form
    114,575,844/234,446,416 = 234,446,416/x
  3. Step 3: Cross multiply
    114,575,844x = 234,446,416 × 234,446,416
  4. Step 4: Simplify right side
    114,575,844x = 54,965,121,975,245,056
  5. Step 5: Solve for x
    x = 54,965,121,975,245,056/114,575,844
  6. Step 6: Final answer
    x = 479,726,965.62

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.