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Finding the Third Proportional to 102,011,493.50 and 221,342,564.75

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Solution

The third proportional to 102,011,493.50 and 221,342,564.75 is: 480,264,814.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,011,493.50 : 221,342,564.75 = 221,342,564.75 : x
  2. Step 2: Convert to fraction form
    102,011,493.50/221,342,564.75 = 221,342,564.75/x
  3. Step 3: Cross multiply
    102,011,493.50x = 221,342,564.75 × 221,342,564.75
  4. Step 4: Simplify right side
    102,011,493.50x = 48,992,530,970,107,944
  5. Step 5: Solve for x
    x = 48,992,530,970,107,944/102,011,493.50
  6. Step 6: Final answer
    x = 480,264,814.18

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Why These Related Problems?

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