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Finding the Third Proportional to 136,884,158,936.50 and 201,225,785,982.50

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Solution

The third proportional to 136,884,158,936.50 and 201,225,785,982.50 is: 295,810,832,012.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,884,158,936.50 : 201,225,785,982.50 = 201,225,785,982.50 : x
  2. Step 2: Convert to fraction form
    136,884,158,936.50/201,225,785,982.50 = 201,225,785,982.50/x
  3. Step 3: Cross multiply
    136,884,158,936.50x = 201,225,785,982.50 × 201,225,785,982.50
  4. Step 4: Simplify right side
    136,884,158,936.50x = 40,491,816,944,274,891,603,968
  5. Step 5: Solve for x
    x = 40,491,816,944,274,891,603,968/136,884,158,936.50
  6. Step 6: Final answer
    x = 295,810,832,012.04

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.