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Finding the Third Proportional to 47,630 and 97,710

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Solution

The third proportional to 47,630 and 97,710 is: 200,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,630 : 97,710 = 97,710 : x
  2. Step 2: Convert to fraction form
    47,630/97,710 = 97,710/x
  3. Step 3: Cross multiply
    47,630x = 97,710 × 97,710
  4. Step 4: Simplify right side
    47,630x = 9,547,244,100
  5. Step 5: Solve for x
    x = 9,547,244,100/47,630
  6. Step 6: Final answer
    x = 200,446.02

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.