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Finding the Third Proportional to 108,302.06 and 234,646.88

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Solution

The third proportional to 108,302.06 and 234,646.88 is: 508,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,302.06 : 234,646.88 = 234,646.88 : x
  2. Step 2: Convert to fraction form
    108,302.06/234,646.88 = 234,646.88/x
  3. Step 3: Cross multiply
    108,302.06x = 234,646.88 × 234,646.88
  4. Step 4: Simplify right side
    108,302.06x = 55,059,155,947.27
  5. Step 5: Solve for x
    x = 55,059,155,947.27/108,302.06
  6. Step 6: Final answer
    x = 508,385.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.