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Finding the Third Proportional to 46,256 and 99,877

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Solution

The third proportional to 46,256 and 99,877 is: 215,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,256 : 99,877 = 99,877 : x
  2. Step 2: Convert to fraction form
    46,256/99,877 = 99,877/x
  3. Step 3: Cross multiply
    46,256x = 99,877 × 99,877
  4. Step 4: Simplify right side
    46,256x = 9,975,415,129
  5. Step 5: Solve for x
    x = 9,975,415,129/46,256
  6. Step 6: Final answer
    x = 215,656.67

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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.