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Finding the Third Proportional to 66,199,320 and 102,763,224

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Solution

The third proportional to 66,199,320 and 102,763,224 is: 159,522,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,199,320 : 102,763,224 = 102,763,224 : x
  2. Step 2: Convert to fraction form
    66,199,320/102,763,224 = 102,763,224/x
  3. Step 3: Cross multiply
    66,199,320x = 102,763,224 × 102,763,224
  4. Step 4: Simplify right side
    66,199,320x = 10,560,280,206,874,176
  5. Step 5: Solve for x
    x = 10,560,280,206,874,176/66,199,320
  6. Step 6: Final answer
    x = 159,522,487.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.