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Finding the Third Proportional to 44,390 and 97,000

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Solution

The third proportional to 44,390 and 97,000 is: 211,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,390 : 97,000 = 97,000 : x
  2. Step 2: Convert to fraction form
    44,390/97,000 = 97,000/x
  3. Step 3: Cross multiply
    44,390x = 97,000 × 97,000
  4. Step 4: Simplify right side
    44,390x = 9,409,000,000
  5. Step 5: Solve for x
    x = 9,409,000,000/44,390
  6. Step 6: Final answer
    x = 211,962.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.