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Finding the Third Proportional to 49,377 and 108,130.50

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Solution

The third proportional to 49,377 and 108,130.50 is: 236,794.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,377 : 108,130.50 = 108,130.50 : x
  2. Step 2: Convert to fraction form
    49,377/108,130.50 = 108,130.50/x
  3. Step 3: Cross multiply
    49,377x = 108,130.50 × 108,130.50
  4. Step 4: Simplify right side
    49,377x = 11,692,205,030.25
  5. Step 5: Solve for x
    x = 11,692,205,030.25/49,377
  6. Step 6: Final answer
    x = 236,794.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.