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Finding the Third Proportional to 201,837,514 and 441,886,268

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Solution

The third proportional to 201,837,514 and 441,886,268 is: 967,429,047.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837,514 : 441,886,268 = 441,886,268 : x
  2. Step 2: Convert to fraction form
    201,837,514/441,886,268 = 441,886,268/x
  3. Step 3: Cross multiply
    201,837,514x = 441,886,268 × 441,886,268
  4. Step 4: Simplify right side
    201,837,514x = 195,263,473,846,967,808
  5. Step 5: Solve for x
    x = 195,263,473,846,967,808/201,837,514
  6. Step 6: Final answer
    x = 967,429,047.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.