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Finding the Third Proportional to 193,370,872,412 and 416,128,315,108

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Solution

The third proportional to 193,370,872,412 and 416,128,315,108 is: 895,495,647,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,370,872,412 : 416,128,315,108 = 416,128,315,108 : x
  2. Step 2: Convert to fraction form
    193,370,872,412/416,128,315,108 = 416,128,315,108/x
  3. Step 3: Cross multiply
    193,370,872,412x = 416,128,315,108 × 416,128,315,108
  4. Step 4: Simplify right side
    193,370,872,412x = 173,162,774,634,622,932,221,952
  5. Step 5: Solve for x
    x = 173,162,774,634,622,932,221,952/193,370,872,412
  6. Step 6: Final answer
    x = 895,495,647,688.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.