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Finding the Third Proportional to 102,937.08 and 223,056.70

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Solution

The third proportional to 102,937.08 and 223,056.70 is: 483,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,937.08 : 223,056.70 = 223,056.70 : x
  2. Step 2: Convert to fraction form
    102,937.08/223,056.70 = 223,056.70/x
  3. Step 3: Cross multiply
    102,937.08x = 223,056.70 × 223,056.70
  4. Step 4: Simplify right side
    102,937.08x = 49,754,292,808.99
  5. Step 5: Solve for x
    x = 49,754,292,808.99/102,937.08
  6. Step 6: Final answer
    x = 483,346.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.