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Finding the Third Proportional to 93,422,214 and 218,276,447

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Solution

The third proportional to 93,422,214 and 218,276,447 is: 509,992,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,422,214 : 218,276,447 = 218,276,447 : x
  2. Step 2: Convert to fraction form
    93,422,214/218,276,447 = 218,276,447/x
  3. Step 3: Cross multiply
    93,422,214x = 218,276,447 × 218,276,447
  4. Step 4: Simplify right side
    93,422,214x = 47,644,607,314,943,808
  5. Step 5: Solve for x
    x = 47,644,607,314,943,808/93,422,214
  6. Step 6: Final answer
    x = 509,992,273.52

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.