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Finding the Third Proportional to 108,705.75 and 233,482.50

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Solution

The third proportional to 108,705.75 and 233,482.50 is: 501,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,705.75 : 233,482.50 = 233,482.50 : x
  2. Step 2: Convert to fraction form
    108,705.75/233,482.50 = 233,482.50/x
  3. Step 3: Cross multiply
    108,705.75x = 233,482.50 × 233,482.50
  4. Step 4: Simplify right side
    108,705.75x = 54,514,077,806.25
  5. Step 5: Solve for x
    x = 54,514,077,806.25/108,705.75
  6. Step 6: Final answer
    x = 501,482.93

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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.