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Finding the Third Proportional to 53,658.98 and 116,536.78

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Solution

The third proportional to 53,658.98 and 116,536.78 is: 253,095.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,658.98 : 116,536.78 = 116,536.78 : x
  2. Step 2: Convert to fraction form
    53,658.98/116,536.78 = 116,536.78/x
  3. Step 3: Cross multiply
    53,658.98x = 116,536.78 × 116,536.78
  4. Step 4: Simplify right side
    53,658.98x = 13,580,821,384.11
  5. Step 5: Solve for x
    x = 13,580,821,384.11/53,658.98
  6. Step 6: Final answer
    x = 253,095.01

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.