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Finding the Third Proportional to 108,830 and 154,047

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Solution

The third proportional to 108,830 and 154,047 is: 218,050.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,830 : 154,047 = 154,047 : x
  2. Step 2: Convert to fraction form
    108,830/154,047 = 154,047/x
  3. Step 3: Cross multiply
    108,830x = 154,047 × 154,047
  4. Step 4: Simplify right side
    108,830x = 23,730,478,209
  5. Step 5: Solve for x
    x = 23,730,478,209/108,830
  6. Step 6: Final answer
    x = 218,050.89

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.