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Finding the Third Proportional to 102,129 and 223,636.50

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Solution

The third proportional to 102,129 and 223,636.50 is: 489,706.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,129 : 223,636.50 = 223,636.50 : x
  2. Step 2: Convert to fraction form
    102,129/223,636.50 = 223,636.50/x
  3. Step 3: Cross multiply
    102,129x = 223,636.50 × 223,636.50
  4. Step 4: Simplify right side
    102,129x = 50,013,284,132.25
  5. Step 5: Solve for x
    x = 50,013,284,132.25/102,129
  6. Step 6: Final answer
    x = 489,706.98

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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.