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Finding the Third Proportional to 241,392,936 and 521,376,226.50

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Solution

The third proportional to 241,392,936 and 521,376,226.50 is: 1,126,102,420.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,392,936 : 521,376,226.50 = 521,376,226.50 : x
  2. Step 2: Convert to fraction form
    241,392,936/521,376,226.50 = 521,376,226.50/x
  3. Step 3: Cross multiply
    241,392,936x = 521,376,226.50 × 521,376,226.50
  4. Step 4: Simplify right side
    241,392,936x = 271,833,169,559,379,296
  5. Step 5: Solve for x
    x = 271,833,169,559,379,296/241,392,936
  6. Step 6: Final answer
    x = 1,126,102,420.66

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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.