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Finding the Third Proportional to 83,929.50 and 181,263.75

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Solution

The third proportional to 83,929.50 and 181,263.75 is: 391,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,929.50 : 181,263.75 = 181,263.75 : x
  2. Step 2: Convert to fraction form
    83,929.50/181,263.75 = 181,263.75/x
  3. Step 3: Cross multiply
    83,929.50x = 181,263.75 × 181,263.75
  4. Step 4: Simplify right side
    83,929.50x = 32,856,547,064.06
  5. Step 5: Solve for x
    x = 32,856,547,064.06/83,929.50
  6. Step 6: Final answer
    x = 391,477.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.