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Finding the Third Proportional to 201,837,528 and 441,886,296

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Solution

The third proportional to 201,837,528 and 441,886,296 is: 967,429,102.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,837,528 : 441,886,296 = 441,886,296 : x
  2. Step 2: Convert to fraction form
    201,837,528/441,886,296 = 441,886,296/x
  3. Step 3: Cross multiply
    201,837,528x = 441,886,296 × 441,886,296
  4. Step 4: Simplify right side
    201,837,528x = 195,263,498,592,599,616
  5. Step 5: Solve for x
    x = 195,263,498,592,599,616/201,837,528
  6. Step 6: Final answer
    x = 967,429,102.64

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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.