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Finding the Third Proportional to 91,268,055,576 and 195,096,454,506

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Solution

The third proportional to 91,268,055,576 and 195,096,454,506 is: 417,042,154,788.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,268,055,576 : 195,096,454,506 = 195,096,454,506 : x
  2. Step 2: Convert to fraction form
    91,268,055,576/195,096,454,506 = 195,096,454,506/x
  3. Step 3: Cross multiply
    91,268,055,576x = 195,096,454,506 × 195,096,454,506
  4. Step 4: Simplify right side
    91,268,055,576x = 38,062,626,560,811,724,701,696
  5. Step 5: Solve for x
    x = 38,062,626,560,811,724,701,696/91,268,055,576
  6. Step 6: Final answer
    x = 417,042,154,788.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.