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Finding the Third Proportional to 92,045,175.75 and 204,521,841

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Solution

The third proportional to 92,045,175.75 and 204,521,841 is: 454,441,887.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,045,175.75 : 204,521,841 = 204,521,841 : x
  2. Step 2: Convert to fraction form
    92,045,175.75/204,521,841 = 204,521,841/x
  3. Step 3: Cross multiply
    92,045,175.75x = 204,521,841 × 204,521,841
  4. Step 4: Simplify right side
    92,045,175.75x = 41,829,183,446,029,280
  5. Step 5: Solve for x
    x = 41,829,183,446,029,280/92,045,175.75
  6. Step 6: Final answer
    x = 454,441,887.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.