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Finding the Third Proportional to 102,056.63 and 216,263.25

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Solution

The third proportional to 102,056.63 and 216,263.25 is: 458,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.63 : 216,263.25 = 216,263.25 : x
  2. Step 2: Convert to fraction form
    102,056.63/216,263.25 = 216,263.25/x
  3. Step 3: Cross multiply
    102,056.63x = 216,263.25 × 216,263.25
  4. Step 4: Simplify right side
    102,056.63x = 46,769,793,300.56
  5. Step 5: Solve for x
    x = 46,769,793,300.56/102,056.63
  6. Step 6: Final answer
    x = 458,272.98

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.