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Finding the Third Proportional to 93,776 and 191,030

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Solution

The third proportional to 93,776 and 191,030 is: 389,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,776 : 191,030 = 191,030 : x
  2. Step 2: Convert to fraction form
    93,776/191,030 = 191,030/x
  3. Step 3: Cross multiply
    93,776x = 191,030 × 191,030
  4. Step 4: Simplify right side
    93,776x = 36,492,460,900
  5. Step 5: Solve for x
    x = 36,492,460,900/93,776
  6. Step 6: Final answer
    x = 389,144.99

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.