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Finding the Third Proportional to 100,145,121 and 213,518,037

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Solution

The third proportional to 100,145,121 and 213,518,037 is: 455,238,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145,121 : 213,518,037 = 213,518,037 : x
  2. Step 2: Convert to fraction form
    100,145,121/213,518,037 = 213,518,037/x
  3. Step 3: Cross multiply
    100,145,121x = 213,518,037 × 213,518,037
  4. Step 4: Simplify right side
    100,145,121x = 45,589,952,124,333,368
  5. Step 5: Solve for x
    x = 45,589,952,124,333,368/100,145,121
  6. Step 6: Final answer
    x = 455,238,874.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.