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Finding the Third Proportional to 107,516.63 and 251,106.38

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Solution

The third proportional to 107,516.63 and 251,106.38 is: 586,461.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,516.63 : 251,106.38 = 251,106.38 : x
  2. Step 2: Convert to fraction form
    107,516.63/251,106.38 = 251,106.38/x
  3. Step 3: Cross multiply
    107,516.63x = 251,106.38 × 251,106.38
  4. Step 4: Simplify right side
    107,516.63x = 63,054,411,565.64
  5. Step 5: Solve for x
    x = 63,054,411,565.64/107,516.63
  6. Step 6: Final answer
    x = 586,461.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.