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Finding the Third Proportional to 45,096.50 and 97,415

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Solution

The third proportional to 45,096.50 and 97,415 is: 210,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,096.50 : 97,415 = 97,415 : x
  2. Step 2: Convert to fraction form
    45,096.50/97,415 = 97,415/x
  3. Step 3: Cross multiply
    45,096.50x = 97,415 × 97,415
  4. Step 4: Simplify right side
    45,096.50x = 9,489,682,225
  5. Step 5: Solve for x
    x = 9,489,682,225/45,096.50
  6. Step 6: Final answer
    x = 210,430.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.