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Finding the Third Proportional to 46,948,610 and 102,855,172

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Solution

The third proportional to 46,948,610 and 102,855,172 is: 225,335,455.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,948,610 : 102,855,172 = 102,855,172 : x
  2. Step 2: Convert to fraction form
    46,948,610/102,855,172 = 102,855,172/x
  3. Step 3: Cross multiply
    46,948,610x = 102,855,172 × 102,855,172
  4. Step 4: Simplify right side
    46,948,610x = 10,579,186,407,149,584
  5. Step 5: Solve for x
    x = 10,579,186,407,149,584/46,948,610
  6. Step 6: Final answer
    x = 225,335,455.24

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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.