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Finding the Third Proportional to 43,712,811 and 96,227,203.50

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Solution

The third proportional to 43,712,811 and 96,227,203.50 is: 211,829,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712,811 : 96,227,203.50 = 96,227,203.50 : x
  2. Step 2: Convert to fraction form
    43,712,811/96,227,203.50 = 96,227,203.50/x
  3. Step 3: Cross multiply
    43,712,811x = 96,227,203.50 × 96,227,203.50
  4. Step 4: Simplify right side
    43,712,811x = 9,259,674,693,430,412
  5. Step 5: Solve for x
    x = 9,259,674,693,430,412/43,712,811
  6. Step 6: Final answer
    x = 211,829,769.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.