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Finding the Third Proportional to 102,271,728 and 219,722,208

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Solution

The third proportional to 102,271,728 and 219,722,208 is: 472,054,688.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,271,728 : 219,722,208 = 219,722,208 : x
  2. Step 2: Convert to fraction form
    102,271,728/219,722,208 = 219,722,208/x
  3. Step 3: Cross multiply
    102,271,728x = 219,722,208 × 219,722,208
  4. Step 4: Simplify right side
    102,271,728x = 48,277,848,688,395,264
  5. Step 5: Solve for x
    x = 48,277,848,688,395,264/102,271,728
  6. Step 6: Final answer
    x = 472,054,688.35

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.