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Finding the Third Proportional to 213,505,971 and 466,161,429

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Solution

The third proportional to 213,505,971 and 466,161,429 is: 1,017,800,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,505,971 : 466,161,429 = 466,161,429 : x
  2. Step 2: Convert to fraction form
    213,505,971/466,161,429 = 466,161,429/x
  3. Step 3: Cross multiply
    213,505,971x = 466,161,429 × 466,161,429
  4. Step 4: Simplify right side
    213,505,971x = 217,306,477,887,322,048
  5. Step 5: Solve for x
    x = 217,306,477,887,322,048/213,505,971
  6. Step 6: Final answer
    x = 1,017,800,471.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.