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Finding the Third Proportional to 48,501.28 and 105,545.53

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Solution

The third proportional to 48,501.28 and 105,545.53 is: 229,681.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,501.28 : 105,545.53 = 105,545.53 : x
  2. Step 2: Convert to fraction form
    48,501.28/105,545.53 = 105,545.53/x
  3. Step 3: Cross multiply
    48,501.28x = 105,545.53 × 105,545.53
  4. Step 4: Simplify right side
    48,501.28x = 11,139,859,166.84
  5. Step 5: Solve for x
    x = 11,139,859,166.84/48,501.28
  6. Step 6: Final answer
    x = 229,681.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.