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Finding the Third Proportional to 66,224,064 and 98,928,256

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Solution

The third proportional to 66,224,064 and 98,928,256 is: 147,783,135.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,224,064 : 98,928,256 = 98,928,256 : x
  2. Step 2: Convert to fraction form
    66,224,064/98,928,256 = 98,928,256/x
  3. Step 3: Cross multiply
    66,224,064x = 98,928,256 × 98,928,256
  4. Step 4: Simplify right side
    66,224,064x = 9,786,799,835,201,536
  5. Step 5: Solve for x
    x = 9,786,799,835,201,536/66,224,064
  6. Step 6: Final answer
    x = 147,783,135.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.