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Finding the Third Proportional to 96,238,940 and 227,114,128

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Solution

The third proportional to 96,238,940 and 227,114,128 is: 535,966,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,238,940 : 227,114,128 = 227,114,128 : x
  2. Step 2: Convert to fraction form
    96,238,940/227,114,128 = 227,114,128/x
  3. Step 3: Cross multiply
    96,238,940x = 227,114,128 × 227,114,128
  4. Step 4: Simplify right side
    96,238,940x = 51,580,827,137,200,384
  5. Step 5: Solve for x
    x = 51,580,827,137,200,384/96,238,940
  6. Step 6: Final answer
    x = 535,966,284.93

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.