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Finding the Third Proportional to 95,547 and 202,483.50

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Solution

The third proportional to 95,547 and 202,483.50 is: 429,103.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,547 : 202,483.50 = 202,483.50 : x
  2. Step 2: Convert to fraction form
    95,547/202,483.50 = 202,483.50/x
  3. Step 3: Cross multiply
    95,547x = 202,483.50 × 202,483.50
  4. Step 4: Simplify right side
    95,547x = 40,999,567,772.25
  5. Step 5: Solve for x
    x = 40,999,567,772.25/95,547
  6. Step 6: Final answer
    x = 429,103.66

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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.