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Finding the Third Proportional to 106,306,910 and 161,610,555

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Solution

The third proportional to 106,306,910 and 161,610,555 is: 245,684,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,306,910 : 161,610,555 = 161,610,555 : x
  2. Step 2: Convert to fraction form
    106,306,910/161,610,555 = 161,610,555/x
  3. Step 3: Cross multiply
    106,306,910x = 161,610,555 × 161,610,555
  4. Step 4: Simplify right side
    106,306,910x = 26,117,971,487,408,024
  5. Step 5: Solve for x
    x = 26,117,971,487,408,024/106,306,910
  6. Step 6: Final answer
    x = 245,684,607.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.