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Finding the Third Proportional to 106,143,957 and 227,043,663.75

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Solution

The third proportional to 106,143,957 and 227,043,663.75 is: 485,650,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143,957 : 227,043,663.75 = 227,043,663.75 : x
  2. Step 2: Convert to fraction form
    106,143,957/227,043,663.75 = 227,043,663.75/x
  3. Step 3: Cross multiply
    106,143,957x = 227,043,663.75 × 227,043,663.75
  4. Step 4: Simplify right side
    106,143,957x = 51,548,825,249,023,064
  5. Step 5: Solve for x
    x = 51,548,825,249,023,064/106,143,957
  6. Step 6: Final answer
    x = 485,650,118.07

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