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Finding the Third Proportional to 47,319 and 103,492.50

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Solution

The third proportional to 47,319 and 103,492.50 is: 226,350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,319 : 103,492.50 = 103,492.50 : x
  2. Step 2: Convert to fraction form
    47,319/103,492.50 = 103,492.50/x
  3. Step 3: Cross multiply
    47,319x = 103,492.50 × 103,492.50
  4. Step 4: Simplify right side
    47,319x = 10,710,697,556.25
  5. Step 5: Solve for x
    x = 10,710,697,556.25/47,319
  6. Step 6: Final answer
    x = 226,350.89

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