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Finding the Third Proportional to 105,070.50 and 233,469

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Solution

The third proportional to 105,070.50 and 233,469 is: 518,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,070.50 : 233,469 = 233,469 : x
  2. Step 2: Convert to fraction form
    105,070.50/233,469 = 233,469/x
  3. Step 3: Cross multiply
    105,070.50x = 233,469 × 233,469
  4. Step 4: Simplify right side
    105,070.50x = 54,507,773,961
  5. Step 5: Solve for x
    x = 54,507,773,961/105,070.50
  6. Step 6: Final answer
    x = 518,773.34

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.