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Finding the Third Proportional to 93,564 and 205,809.75

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Solution

The third proportional to 93,564 and 205,809.75 is: 452,713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,564 : 205,809.75 = 205,809.75 : x
  2. Step 2: Convert to fraction form
    93,564/205,809.75 = 205,809.75/x
  3. Step 3: Cross multiply
    93,564x = 205,809.75 × 205,809.75
  4. Step 4: Simplify right side
    93,564x = 42,357,653,195.06
  5. Step 5: Solve for x
    x = 42,357,653,195.06/93,564
  6. Step 6: Final answer
    x = 452,713.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.