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Finding the Third Proportional to 108,972 and 235,146.94

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Solution

The third proportional to 108,972 and 235,146.94 is: 507,415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,972 : 235,146.94 = 235,146.94 : x
  2. Step 2: Convert to fraction form
    108,972/235,146.94 = 235,146.94/x
  3. Step 3: Cross multiply
    108,972x = 235,146.94 × 235,146.94
  4. Step 4: Simplify right side
    108,972x = 55,294,082,215.63
  5. Step 5: Solve for x
    x = 55,294,082,215.63/108,972
  6. Step 6: Final answer
    x = 507,415.50

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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.