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Finding the Third Proportional to 98,773 and 212,988

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Solution

The third proportional to 98,773 and 212,988 is: 459,274.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,773 : 212,988 = 212,988 : x
  2. Step 2: Convert to fraction form
    98,773/212,988 = 212,988/x
  3. Step 3: Cross multiply
    98,773x = 212,988 × 212,988
  4. Step 4: Simplify right side
    98,773x = 45,363,888,144
  5. Step 5: Solve for x
    x = 45,363,888,144/98,773
  6. Step 6: Final answer
    x = 459,274.18

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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.