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Finding the Third Proportional to 91,845,437,169 and 143,763,194,274

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Solution

The third proportional to 91,845,437,169 and 143,763,194,274 is: 225,028,664,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,845,437,169 : 143,763,194,274 = 143,763,194,274 : x
  2. Step 2: Convert to fraction form
    91,845,437,169/143,763,194,274 = 143,763,194,274/x
  3. Step 3: Cross multiply
    91,845,437,169x = 143,763,194,274 × 143,763,194,274
  4. Step 4: Simplify right side
    91,845,437,169x = 20,667,856,027,863,868,243,968
  5. Step 5: Solve for x
    x = 20,667,856,027,863,868,243,968/91,845,437,169
  6. Step 6: Final answer
    x = 225,028,664,078.70

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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.