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Finding the Third Proportional to 107,056.69 and 228,875.63

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Solution

The third proportional to 107,056.69 and 228,875.63 is: 489,311.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,056.69 : 228,875.63 = 228,875.63 : x
  2. Step 2: Convert to fraction form
    107,056.69/228,875.63 = 228,875.63/x
  3. Step 3: Cross multiply
    107,056.69x = 228,875.63 × 228,875.63
  4. Step 4: Simplify right side
    107,056.69x = 52,384,051,719.14
  5. Step 5: Solve for x
    x = 52,384,051,719.14/107,056.69
  6. Step 6: Final answer
    x = 489,311.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.