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Finding the Third Proportional to 108,829 and 154,045.50

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Solution

The third proportional to 108,829 and 154,045.50 is: 218,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,829 : 154,045.50 = 154,045.50 : x
  2. Step 2: Convert to fraction form
    108,829/154,045.50 = 154,045.50/x
  3. Step 3: Cross multiply
    108,829x = 154,045.50 × 154,045.50
  4. Step 4: Simplify right side
    108,829x = 23,730,016,070.25
  5. Step 5: Solve for x
    x = 23,730,016,070.25/108,829
  6. Step 6: Final answer
    x = 218,048.65

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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.