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Finding the Third Proportional to 102,211.88 and 223,897.50

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Solution

The third proportional to 102,211.88 and 223,897.50 is: 490,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,211.88 : 223,897.50 = 223,897.50 : x
  2. Step 2: Convert to fraction form
    102,211.88/223,897.50 = 223,897.50/x
  3. Step 3: Cross multiply
    102,211.88x = 223,897.50 × 223,897.50
  4. Step 4: Simplify right side
    102,211.88x = 50,130,090,506.25
  5. Step 5: Solve for x
    x = 50,130,090,506.25/102,211.88
  6. Step 6: Final answer
    x = 490,452.70

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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.