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Finding the Third Proportional to 41,537,029.50 and 91,045,035

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Solution

The third proportional to 41,537,029.50 and 91,045,035 is: 199,561,656.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,537,029.50 : 91,045,035 = 91,045,035 : x
  2. Step 2: Convert to fraction form
    41,537,029.50/91,045,035 = 91,045,035/x
  3. Step 3: Cross multiply
    41,537,029.50x = 91,045,035 × 91,045,035
  4. Step 4: Simplify right side
    41,537,029.50x = 8,289,198,398,151,225
  5. Step 5: Solve for x
    x = 8,289,198,398,151,225/41,537,029.50
  6. Step 6: Final answer
    x = 199,561,656.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.