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Finding the Third Proportional to 164,245,785.75 and 254,232,324

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Solution

The third proportional to 164,245,785.75 and 254,232,324 is: 393,520,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,245,785.75 : 254,232,324 = 254,232,324 : x
  2. Step 2: Convert to fraction form
    164,245,785.75/254,232,324 = 254,232,324/x
  3. Step 3: Cross multiply
    164,245,785.75x = 254,232,324 × 254,232,324
  4. Step 4: Simplify right side
    164,245,785.75x = 64,634,074,566,440,976
  5. Step 5: Solve for x
    x = 64,634,074,566,440,976/164,245,785.75
  6. Step 6: Final answer
    x = 393,520,444.20

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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.