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Finding the Third Proportional to 193,542,745,253 and 303,611,457,222

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Solution

The third proportional to 193,542,745,253 and 303,611,457,222 is: 476,276,787,517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,542,745,253 : 303,611,457,222 = 303,611,457,222 : x
  2. Step 2: Convert to fraction form
    193,542,745,253/303,611,457,222 = 303,611,457,222/x
  3. Step 3: Cross multiply
    193,542,745,253x = 303,611,457,222 × 303,611,457,222
  4. Step 4: Simplify right side
    193,542,745,253x = 92,179,916,956,466,338,070,528
  5. Step 5: Solve for x
    x = 92,179,916,956,466,338,070,528/193,542,745,253
  6. Step 6: Final answer
    x = 476,276,787,517.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.