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Finding the Third Proportional to 122,460,582,864 and 191,684,258,991

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Solution

The third proportional to 122,460,582,864 and 191,684,258,991 is: 300,038,218,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,460,582,864 : 191,684,258,991 = 191,684,258,991 : x
  2. Step 2: Convert to fraction form
    122,460,582,864/191,684,258,991 = 191,684,258,991/x
  3. Step 3: Cross multiply
    122,460,582,864x = 191,684,258,991 × 191,684,258,991
  4. Step 4: Simplify right side
    122,460,582,864x = 36,742,855,144,928,763,183,104
  5. Step 5: Solve for x
    x = 36,742,855,144,928,763,183,104/122,460,582,864
  6. Step 6: Final answer
    x = 300,038,218,711.84

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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.