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Finding the Third Proportional to 101,408,599 and 221,400,110

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Solution

The third proportional to 101,408,599 and 221,400,110 is: 483,371,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,408,599 : 221,400,110 = 221,400,110 : x
  2. Step 2: Convert to fraction form
    101,408,599/221,400,110 = 221,400,110/x
  3. Step 3: Cross multiply
    101,408,599x = 221,400,110 × 221,400,110
  4. Step 4: Simplify right side
    101,408,599x = 49,018,008,708,012,096
  5. Step 5: Solve for x
    x = 49,018,008,708,012,096/101,408,599
  6. Step 6: Final answer
    x = 483,371,323.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.