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Finding the Third Proportional to 46,551 and 98,358

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Solution

The third proportional to 46,551 and 98,358 is: 207,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,551 : 98,358 = 98,358 : x
  2. Step 2: Convert to fraction form
    46,551/98,358 = 98,358/x
  3. Step 3: Cross multiply
    46,551x = 98,358 × 98,358
  4. Step 4: Simplify right side
    46,551x = 9,674,296,164
  5. Step 5: Solve for x
    x = 9,674,296,164/46,551
  6. Step 6: Final answer
    x = 207,821.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.