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Finding the Third Proportional to 78,000.47 and 168,443.30

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Solution

The third proportional to 78,000.47 and 168,443.30 is: 363,756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.47 : 168,443.30 = 168,443.30 : x
  2. Step 2: Convert to fraction form
    78,000.47/168,443.30 = 168,443.30/x
  3. Step 3: Cross multiply
    78,000.47x = 168,443.30 × 168,443.30
  4. Step 4: Simplify right side
    78,000.47x = 28,373,144,262.12
  5. Step 5: Solve for x
    x = 28,373,144,262.12/78,000.47
  6. Step 6: Final answer
    x = 363,756.07

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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.