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Finding the Third Proportional to 93,821.63 and 141,545.81

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Solution

The third proportional to 93,821.63 and 141,545.81 is: 213,545.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,821.63 : 141,545.81 = 141,545.81 : x
  2. Step 2: Convert to fraction form
    93,821.63/141,545.81 = 141,545.81/x
  3. Step 3: Cross multiply
    93,821.63x = 141,545.81 × 141,545.81
  4. Step 4: Simplify right side
    93,821.63x = 20,035,217,036.29
  5. Step 5: Solve for x
    x = 20,035,217,036.29/93,821.63
  6. Step 6: Final answer
    x = 213,545.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.