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Finding the Third Proportional to 155,495,690,367.75 and 232,224,585,967.12

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Solution

The third proportional to 155,495,690,367.75 and 232,224,585,967.12 is: 346,815,131,660.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,495,690,367.75 : 232,224,585,967.12 = 232,224,585,967.12 : x
  2. Step 2: Convert to fraction form
    155,495,690,367.75/232,224,585,967.12 = 232,224,585,967.12/x
  3. Step 3: Cross multiply
    155,495,690,367.75x = 232,224,585,967.12 × 232,224,585,967.12
  4. Step 4: Simplify right side
    155,495,690,367.75x = 53,928,258,327,600,305,274,880
  5. Step 5: Solve for x
    x = 53,928,258,327,600,305,274,880/155,495,690,367.75
  6. Step 6: Final answer
    x = 346,815,131,660.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.