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Finding the Third Proportional to 95,929 and 203,547.50

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Solution

The third proportional to 95,929 and 203,547.50 is: 431,898.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,929 : 203,547.50 = 203,547.50 : x
  2. Step 2: Convert to fraction form
    95,929/203,547.50 = 203,547.50/x
  3. Step 3: Cross multiply
    95,929x = 203,547.50 × 203,547.50
  4. Step 4: Simplify right side
    95,929x = 41,431,584,756.25
  5. Step 5: Solve for x
    x = 41,431,584,756.25/95,929
  6. Step 6: Final answer
    x = 431,898.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.