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Finding the Third Proportional to 41,721,000.75 and 90,624,222

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Solution

The third proportional to 41,721,000.75 and 90,624,222 is: 196,849,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,721,000.75 : 90,624,222 = 90,624,222 : x
  2. Step 2: Convert to fraction form
    41,721,000.75/90,624,222 = 90,624,222/x
  3. Step 3: Cross multiply
    41,721,000.75x = 90,624,222 × 90,624,222
  4. Step 4: Simplify right side
    41,721,000.75x = 8,212,749,613,105,284
  5. Step 5: Solve for x
    x = 8,212,749,613,105,284/41,721,000.75
  6. Step 6: Final answer
    x = 196,849,295.69

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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.