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Finding the Third Proportional to 96,852,343,965 and 136,330,009,976

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Solution

The third proportional to 96,852,343,965 and 136,330,009,976 is: 191,899,037,846.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852,343,965 : 136,330,009,976 = 136,330,009,976 : x
  2. Step 2: Convert to fraction form
    96,852,343,965/136,330,009,976 = 136,330,009,976/x
  3. Step 3: Cross multiply
    96,852,343,965x = 136,330,009,976 × 136,330,009,976
  4. Step 4: Simplify right side
    96,852,343,965x = 18,585,871,620,056,260,018,176
  5. Step 5: Solve for x
    x = 18,585,871,620,056,260,018,176/96,852,343,965
  6. Step 6: Final answer
    x = 191,899,037,846.44

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.