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Finding the Third Proportional to 109,354,895 and 153,821,226

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Solution

The third proportional to 109,354,895 and 153,821,226 is: 216,368,636.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,354,895 : 153,821,226 = 153,821,226 : x
  2. Step 2: Convert to fraction form
    109,354,895/153,821,226 = 153,821,226/x
  3. Step 3: Cross multiply
    109,354,895x = 153,821,226 × 153,821,226
  4. Step 4: Simplify right side
    109,354,895x = 23,660,969,568,143,076
  5. Step 5: Solve for x
    x = 23,660,969,568,143,076/109,354,895
  6. Step 6: Final answer
    x = 216,368,636.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.