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Finding the Third Proportional to 108,469 and 233,607.50

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Solution

The third proportional to 108,469 and 233,607.50 is: 503,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,469 : 233,607.50 = 233,607.50 : x
  2. Step 2: Convert to fraction form
    108,469/233,607.50 = 233,607.50/x
  3. Step 3: Cross multiply
    108,469x = 233,607.50 × 233,607.50
  4. Step 4: Simplify right side
    108,469x = 54,572,464,056.25
  5. Step 5: Solve for x
    x = 54,572,464,056.25/108,469
  6. Step 6: Final answer
    x = 503,115.77

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.