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Finding the Third Proportional to 97,303.50 and 210,599.63

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Solution

The third proportional to 97,303.50 and 210,599.63 is: 455,813.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,303.50 : 210,599.63 = 210,599.63 : x
  2. Step 2: Convert to fraction form
    97,303.50/210,599.63 = 210,599.63/x
  3. Step 3: Cross multiply
    97,303.50x = 210,599.63 × 210,599.63
  4. Step 4: Simplify right side
    97,303.50x = 44,352,202,050.14
  5. Step 5: Solve for x
    x = 44,352,202,050.14/97,303.50
  6. Step 6: Final answer
    x = 455,813.02

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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.