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Finding the Third Proportional to 207,390,784.50 and 444,363,010.50

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Solution

The third proportional to 207,390,784.50 and 444,363,010.50 is: 952,108,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,390,784.50 : 444,363,010.50 = 444,363,010.50 : x
  2. Step 2: Convert to fraction form
    207,390,784.50/444,363,010.50 = 444,363,010.50/x
  3. Step 3: Cross multiply
    207,390,784.50x = 444,363,010.50 × 444,363,010.50
  4. Step 4: Simplify right side
    207,390,784.50x = 197,458,485,100,623,104
  5. Step 5: Solve for x
    x = 197,458,485,100,623,104/207,390,784.50
  6. Step 6: Final answer
    x = 952,108,289.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.