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Finding the Third Proportional to 76,743.38 and 156,607.50

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Solution

The third proportional to 76,743.38 and 156,607.50 is: 319,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743.38 : 156,607.50 = 156,607.50 : x
  2. Step 2: Convert to fraction form
    76,743.38/156,607.50 = 156,607.50/x
  3. Step 3: Cross multiply
    76,743.38x = 156,607.50 × 156,607.50
  4. Step 4: Simplify right side
    76,743.38x = 24,525,909,056.25
  5. Step 5: Solve for x
    x = 24,525,909,056.25/76,743.38
  6. Step 6: Final answer
    x = 319,583.40

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.