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Finding the Third Proportional to 98,627,992.50 and 214,422,712.50

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Solution

The third proportional to 98,627,992.50 and 214,422,712.50 is: 466,166,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,627,992.50 : 214,422,712.50 = 214,422,712.50 : x
  2. Step 2: Convert to fraction form
    98,627,992.50/214,422,712.50 = 214,422,712.50/x
  3. Step 3: Cross multiply
    98,627,992.50x = 214,422,712.50 × 214,422,712.50
  4. Step 4: Simplify right side
    98,627,992.50x = 45,977,099,635,857,656
  5. Step 5: Solve for x
    x = 45,977,099,635,857,656/98,627,992.50
  6. Step 6: Final answer
    x = 466,166,840.37

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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.