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Finding the Third Proportional to 114,446,846 and 241,051,225

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Solution

The third proportional to 114,446,846 and 241,051,225 is: 507,708,994.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,446,846 : 241,051,225 = 241,051,225 : x
  2. Step 2: Convert to fraction form
    114,446,846/241,051,225 = 241,051,225/x
  3. Step 3: Cross multiply
    114,446,846x = 241,051,225 × 241,051,225
  4. Step 4: Simplify right side
    114,446,846x = 58,105,693,074,000,624
  5. Step 5: Solve for x
    x = 58,105,693,074,000,624/114,446,846
  6. Step 6: Final answer
    x = 507,708,994.22

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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.