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Finding the Third Proportional to 41,203,978 and 89,575,018

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Solution

The third proportional to 41,203,978 and 89,575,018 is: 194,730,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203,978 : 89,575,018 = 89,575,018 : x
  2. Step 2: Convert to fraction form
    41,203,978/89,575,018 = 89,575,018/x
  3. Step 3: Cross multiply
    41,203,978x = 89,575,018 × 89,575,018
  4. Step 4: Simplify right side
    41,203,978x = 8,023,683,849,700,324
  5. Step 5: Solve for x
    x = 8,023,683,849,700,324/41,203,978
  6. Step 6: Final answer
    x = 194,730,806.08

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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.