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Finding the Third Proportional to 54,956,665,194 and 119,038,948,258

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Solution

The third proportional to 54,956,665,194 and 119,038,948,258 is: 257,844,451,666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,956,665,194 : 119,038,948,258 = 119,038,948,258 : x
  2. Step 2: Convert to fraction form
    54,956,665,194/119,038,948,258 = 119,038,948,258/x
  3. Step 3: Cross multiply
    54,956,665,194x = 119,038,948,258 × 119,038,948,258
  4. Step 4: Simplify right side
    54,956,665,194x = 14,170,271,202,370,801,106,944
  5. Step 5: Solve for x
    x = 14,170,271,202,370,801,106,944/54,956,665,194
  6. Step 6: Final answer
    x = 257,844,451,666.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.