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Finding the Third Proportional to 219,090,865.50 and 462,628,098

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Solution

The third proportional to 219,090,865.50 and 462,628,098 is: 976,876,678.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,090,865.50 : 462,628,098 = 462,628,098 : x
  2. Step 2: Convert to fraction form
    219,090,865.50/462,628,098 = 462,628,098/x
  3. Step 3: Cross multiply
    219,090,865.50x = 462,628,098 × 462,628,098
  4. Step 4: Simplify right side
    219,090,865.50x = 214,024,757,059,097,600
  5. Step 5: Solve for x
    x = 214,024,757,059,097,600/219,090,865.50
  6. Step 6: Final answer
    x = 976,876,678.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.