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Finding the Third Proportional to 45,425.81 and 97,792.31

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Solution

The third proportional to 45,425.81 and 97,792.31 is: 210,526.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,425.81 : 97,792.31 = 97,792.31 : x
  2. Step 2: Convert to fraction form
    45,425.81/97,792.31 = 97,792.31/x
  3. Step 3: Cross multiply
    45,425.81x = 97,792.31 × 97,792.31
  4. Step 4: Simplify right side
    45,425.81x = 9,563,336,384.10
  5. Step 5: Solve for x
    x = 9,563,336,384.10/45,425.81
  6. Step 6: Final answer
    x = 210,526.48

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.