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Finding the Third Proportional to 239,699,538 and 517,159,332

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Solution

The third proportional to 239,699,538 and 517,159,332 is: 1,115,787,610.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,699,538 : 517,159,332 = 517,159,332 : x
  2. Step 2: Convert to fraction form
    239,699,538/517,159,332 = 517,159,332/x
  3. Step 3: Cross multiply
    239,699,538x = 517,159,332 × 517,159,332
  4. Step 4: Simplify right side
    239,699,538x = 267,453,774,674,686,208
  5. Step 5: Solve for x
    x = 267,453,774,674,686,208/239,699,538
  6. Step 6: Final answer
    x = 1,115,787,610.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.