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Finding the Third Proportional to 46,893 and 101,118

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Solution

The third proportional to 46,893 and 101,118 is: 218,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,893 : 101,118 = 101,118 : x
  2. Step 2: Convert to fraction form
    46,893/101,118 = 101,118/x
  3. Step 3: Cross multiply
    46,893x = 101,118 × 101,118
  4. Step 4: Simplify right side
    46,893x = 10,224,849,924
  5. Step 5: Solve for x
    x = 10,224,849,924/46,893
  6. Step 6: Final answer
    x = 218,046.40

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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.