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Finding the Third Proportional to 44,187,576 and 96,023,846

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Solution

The third proportional to 44,187,576 and 96,023,846 is: 208,669,038.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,187,576 : 96,023,846 = 96,023,846 : x
  2. Step 2: Convert to fraction form
    44,187,576/96,023,846 = 96,023,846/x
  3. Step 3: Cross multiply
    44,187,576x = 96,023,846 × 96,023,846
  4. Step 4: Simplify right side
    44,187,576x = 9,220,579,000,631,716
  5. Step 5: Solve for x
    x = 9,220,579,000,631,716/44,187,576
  6. Step 6: Final answer
    x = 208,669,038.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.