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Finding the Third Proportional to 46,413 and 95,013

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Solution

The third proportional to 46,413 and 95,013 is: 194,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,413 : 95,013 = 95,013 : x
  2. Step 2: Convert to fraction form
    46,413/95,013 = 95,013/x
  3. Step 3: Cross multiply
    46,413x = 95,013 × 95,013
  4. Step 4: Simplify right side
    46,413x = 9,027,470,169
  5. Step 5: Solve for x
    x = 9,027,470,169/46,413
  6. Step 6: Final answer
    x = 194,503.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.