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Finding the Third Proportional to 66,590,092,111.50 and 96,211,183,743

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Solution

The third proportional to 66,590,092,111.50 and 96,211,183,743 is: 139,008,545,921.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,590,092,111.50 : 96,211,183,743 = 96,211,183,743 : x
  2. Step 2: Convert to fraction form
    66,590,092,111.50/96,211,183,743 = 96,211,183,743/x
  3. Step 3: Cross multiply
    66,590,092,111.50x = 96,211,183,743 × 96,211,183,743
  4. Step 4: Simplify right side
    66,590,092,111.50x = 9,256,591,877,229,307,232,256
  5. Step 5: Solve for x
    x = 9,256,591,877,229,307,232,256/66,590,092,111.50
  6. Step 6: Final answer
    x = 139,008,545,921.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.