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Finding the Third Proportional to 46,077,147 and 98,992,267.50

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Solution

The third proportional to 46,077,147 and 98,992,267.50 is: 212,675,255.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,077,147 : 98,992,267.50 = 98,992,267.50 : x
  2. Step 2: Convert to fraction form
    46,077,147/98,992,267.50 = 98,992,267.50/x
  3. Step 3: Cross multiply
    46,077,147x = 98,992,267.50 × 98,992,267.50
  4. Step 4: Simplify right side
    46,077,147x = 9,799,469,024,791,556
  5. Step 5: Solve for x
    x = 9,799,469,024,791,556/46,077,147
  6. Step 6: Final answer
    x = 212,675,255.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.