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Finding the Third Proportional to 93,137.34 and 197,369.16

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Solution

The third proportional to 93,137.34 and 197,369.16 is: 418,248.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,137.34 : 197,369.16 = 197,369.16 : x
  2. Step 2: Convert to fraction form
    93,137.34/197,369.16 = 197,369.16/x
  3. Step 3: Cross multiply
    93,137.34x = 197,369.16 × 197,369.16
  4. Step 4: Simplify right side
    93,137.34x = 38,954,583,838.84
  5. Step 5: Solve for x
    x = 38,954,583,838.84/93,137.34
  6. Step 6: Final answer
    x = 418,248.82

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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.