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Finding the Third Proportional to 108,528 and 232,630.50

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Solution

The third proportional to 108,528 and 232,630.50 is: 498,645.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,528 : 232,630.50 = 232,630.50 : x
  2. Step 2: Convert to fraction form
    108,528/232,630.50 = 232,630.50/x
  3. Step 3: Cross multiply
    108,528x = 232,630.50 × 232,630.50
  4. Step 4: Simplify right side
    108,528x = 54,116,949,530.25
  5. Step 5: Solve for x
    x = 54,116,949,530.25/108,528
  6. Step 6: Final answer
    x = 498,645.05

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.