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Finding the Third Proportional to 46,066 and 99,484

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Solution

The third proportional to 46,066 and 99,484 is: 214,845.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,066 : 99,484 = 99,484 : x
  2. Step 2: Convert to fraction form
    46,066/99,484 = 99,484/x
  3. Step 3: Cross multiply
    46,066x = 99,484 × 99,484
  4. Step 4: Simplify right side
    46,066x = 9,897,066,256
  5. Step 5: Solve for x
    x = 9,897,066,256/46,066
  6. Step 6: Final answer
    x = 214,845.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.