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Finding the Third Proportional to 96,852,344,908.50 and 136,330,011,330.75

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Solution

The third proportional to 96,852,344,908.50 and 136,330,011,330.75 is: 191,899,039,790.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,852,344,908.50 : 136,330,011,330.75 = 136,330,011,330.75 : x
  2. Step 2: Convert to fraction form
    96,852,344,908.50/136,330,011,330.75 = 136,330,011,330.75/x
  3. Step 3: Cross multiply
    96,852,344,908.50x = 136,330,011,330.75 × 136,330,011,330.75
  4. Step 4: Simplify right side
    96,852,344,908.50x = 18,585,871,989,442,422,505,472
  5. Step 5: Solve for x
    x = 18,585,871,989,442,422,505,472/96,852,344,908.50
  6. Step 6: Final answer
    x = 191,899,039,790.94

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