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Finding the Third Proportional to 108,849 and 159,547.50

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Solution

The third proportional to 108,849 and 159,547.50 is: 233,859.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,849 : 159,547.50 = 159,547.50 : x
  2. Step 2: Convert to fraction form
    108,849/159,547.50 = 159,547.50/x
  3. Step 3: Cross multiply
    108,849x = 159,547.50 × 159,547.50
  4. Step 4: Simplify right side
    108,849x = 25,455,404,756.25
  5. Step 5: Solve for x
    x = 25,455,404,756.25/108,849
  6. Step 6: Final answer
    x = 233,859.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.