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Finding the Third Proportional to 97,222 and 152,314

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Solution

The third proportional to 97,222 and 152,314 is: 238,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,222 : 152,314 = 152,314 : x
  2. Step 2: Convert to fraction form
    97,222/152,314 = 152,314/x
  3. Step 3: Cross multiply
    97,222x = 152,314 × 152,314
  4. Step 4: Simplify right side
    97,222x = 23,199,554,596
  5. Step 5: Solve for x
    x = 23,199,554,596/97,222
  6. Step 6: Final answer
    x = 238,624.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.