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Finding the Third Proportional to 155,495,690,371.50 and 232,224,585,972

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Solution

The third proportional to 155,495,690,371.50 and 232,224,585,972 is: 346,815,131,667.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,495,690,371.50 : 232,224,585,972 = 232,224,585,972 : x
  2. Step 2: Convert to fraction form
    155,495,690,371.50/232,224,585,972 = 232,224,585,972/x
  3. Step 3: Cross multiply
    155,495,690,371.50x = 232,224,585,972 × 232,224,585,972
  4. Step 4: Simplify right side
    155,495,690,371.50x = 53,928,258,329,866,823,270,400
  5. Step 5: Solve for x
    x = 53,928,258,329,866,823,270,400/155,495,690,371.50
  6. Step 6: Final answer
    x = 346,815,131,667.15

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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.