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Finding the Third Proportional to 114,446,844 and 241,051,221

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Solution

The third proportional to 114,446,844 and 241,051,221 is: 507,708,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,446,844 : 241,051,221 = 241,051,221 : x
  2. Step 2: Convert to fraction form
    114,446,844/241,051,221 = 241,051,221/x
  3. Step 3: Cross multiply
    114,446,844x = 241,051,221 × 241,051,221
  4. Step 4: Simplify right side
    114,446,844x = 58,105,691,145,590,840
  5. Step 5: Solve for x
    x = 58,105,691,145,590,840/114,446,844
  6. Step 6: Final answer
    x = 507,708,986.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.