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Finding the Third Proportional to 46,710 and 96,744.38

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Solution

The third proportional to 46,710 and 96,744.38 is: 200,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,710 : 96,744.38 = 96,744.38 : x
  2. Step 2: Convert to fraction form
    46,710/96,744.38 = 96,744.38/x
  3. Step 3: Cross multiply
    46,710x = 96,744.38 × 96,744.38
  4. Step 4: Simplify right side
    46,710x = 9,359,474,094.14
  5. Step 5: Solve for x
    x = 9,359,474,094.14/46,710
  6. Step 6: Final answer
    x = 200,374.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.