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Finding the Third Proportional to 46,456 and 98,432

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Solution

The third proportional to 46,456 and 98,432 is: 208,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456 : 98,432 = 98,432 : x
  2. Step 2: Convert to fraction form
    46,456/98,432 = 98,432/x
  3. Step 3: Cross multiply
    46,456x = 98,432 × 98,432
  4. Step 4: Simplify right side
    46,456x = 9,688,858,624
  5. Step 5: Solve for x
    x = 9,688,858,624/46,456
  6. Step 6: Final answer
    x = 208,559.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.