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Finding the Third Proportional to 107,929.50 and 235,511.50

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Solution

The third proportional to 107,929.50 and 235,511.50 is: 513,906.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,929.50 : 235,511.50 = 235,511.50 : x
  2. Step 2: Convert to fraction form
    107,929.50/235,511.50 = 235,511.50/x
  3. Step 3: Cross multiply
    107,929.50x = 235,511.50 × 235,511.50
  4. Step 4: Simplify right side
    107,929.50x = 55,465,666,632.25
  5. Step 5: Solve for x
    x = 55,465,666,632.25/107,929.50
  6. Step 6: Final answer
    x = 513,906.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.