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Finding the Third Proportional to 108,898.45 and 233,553.80

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Solution

The third proportional to 108,898.45 and 233,553.80 is: 500,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,898.45 : 233,553.80 = 233,553.80 : x
  2. Step 2: Convert to fraction form
    108,898.45/233,553.80 = 233,553.80/x
  3. Step 3: Cross multiply
    108,898.45x = 233,553.80 × 233,553.80
  4. Step 4: Simplify right side
    108,898.45x = 54,547,376,034.73
  5. Step 5: Solve for x
    x = 54,547,376,034.73/108,898.45
  6. Step 6: Final answer
    x = 500,901.29

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Why These Related Problems?

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