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Finding the Third Proportional to 70,690.22 and 152,453.81

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Solution

The third proportional to 70,690.22 and 152,453.81 is: 328,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,690.22 : 152,453.81 = 152,453.81 : x
  2. Step 2: Convert to fraction form
    70,690.22/152,453.81 = 152,453.81/x
  3. Step 3: Cross multiply
    70,690.22x = 152,453.81 × 152,453.81
  4. Step 4: Simplify right side
    70,690.22x = 23,242,164,945.79
  5. Step 5: Solve for x
    x = 23,242,164,945.79/70,690.22
  6. Step 6: Final answer
    x = 328,788.98

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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.