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Finding the Third Proportional to 45,736 and 99,490

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Solution

The third proportional to 45,736 and 99,490 is: 216,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,736 : 99,490 = 99,490 : x
  2. Step 2: Convert to fraction form
    45,736/99,490 = 99,490/x
  3. Step 3: Cross multiply
    45,736x = 99,490 × 99,490
  4. Step 4: Simplify right side
    45,736x = 9,898,260,100
  5. Step 5: Solve for x
    x = 9,898,260,100/45,736
  6. Step 6: Final answer
    x = 216,421.64

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.