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Finding the Third Proportional to 46,899,228 and 103,339,584

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Solution

The third proportional to 46,899,228 and 103,339,584 is: 227,702,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,899,228 : 103,339,584 = 103,339,584 : x
  2. Step 2: Convert to fraction form
    46,899,228/103,339,584 = 103,339,584/x
  3. Step 3: Cross multiply
    46,899,228x = 103,339,584 × 103,339,584
  4. Step 4: Simplify right side
    46,899,228x = 10,679,069,621,293,056
  5. Step 5: Solve for x
    x = 10,679,069,621,293,056/46,899,228
  6. Step 6: Final answer
    x = 227,702,460.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.