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Finding the Third Proportional to 93,911 and 221,465.50

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Solution

The third proportional to 93,911 and 221,465.50 is: 522,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,911 : 221,465.50 = 221,465.50 : x
  2. Step 2: Convert to fraction form
    93,911/221,465.50 = 221,465.50/x
  3. Step 3: Cross multiply
    93,911x = 221,465.50 × 221,465.50
  4. Step 4: Simplify right side
    93,911x = 49,046,967,690.25
  5. Step 5: Solve for x
    x = 49,046,967,690.25/93,911
  6. Step 6: Final answer
    x = 522,270.74

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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.