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Finding the Third Proportional to 93,931 and 221,509.50

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Solution

The third proportional to 93,931 and 221,509.50 is: 522,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,931 : 221,509.50 = 221,509.50 : x
  2. Step 2: Convert to fraction form
    93,931/221,509.50 = 221,509.50/x
  3. Step 3: Cross multiply
    93,931x = 221,509.50 × 221,509.50
  4. Step 4: Simplify right side
    93,931x = 49,066,458,590.25
  5. Step 5: Solve for x
    x = 49,066,458,590.25/93,931
  6. Step 6: Final answer
    x = 522,367.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.