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Finding the Third Proportional to 106,062,393.50 and 163,633,445

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Solution

The third proportional to 106,062,393.50 and 163,633,445 is: 252,454,271.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,062,393.50 : 163,633,445 = 163,633,445 : x
  2. Step 2: Convert to fraction form
    106,062,393.50/163,633,445 = 163,633,445/x
  3. Step 3: Cross multiply
    106,062,393.50x = 163,633,445 × 163,633,445
  4. Step 4: Simplify right side
    106,062,393.50x = 26,775,904,322,568,024
  5. Step 5: Solve for x
    x = 26,775,904,322,568,024/106,062,393.50
  6. Step 6: Final answer
    x = 252,454,271.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.