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Finding the Third Proportional to 154,175,256 and 238,866,084

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Solution

The third proportional to 154,175,256 and 238,866,084 is: 370,078,880.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,175,256 : 238,866,084 = 238,866,084 : x
  2. Step 2: Convert to fraction form
    154,175,256/238,866,084 = 238,866,084/x
  3. Step 3: Cross multiply
    154,175,256x = 238,866,084 × 238,866,084
  4. Step 4: Simplify right side
    154,175,256x = 57,057,006,085,495,056
  5. Step 5: Solve for x
    x = 57,057,006,085,495,056/154,175,256
  6. Step 6: Final answer
    x = 370,078,880.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.