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Finding the Third Proportional to 70,697.63 and 152,465.25

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Solution

The third proportional to 70,697.63 and 152,465.25 is: 328,803.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,697.63 : 152,465.25 = 152,465.25 : x
  2. Step 2: Convert to fraction form
    70,697.63/152,465.25 = 152,465.25/x
  3. Step 3: Cross multiply
    70,697.63x = 152,465.25 × 152,465.25
  4. Step 4: Simplify right side
    70,697.63x = 23,245,652,457.56
  5. Step 5: Solve for x
    x = 23,245,652,457.56/70,697.63
  6. Step 6: Final answer
    x = 328,803.87

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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.