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Finding the Third Proportional to 125,703,576 and 193,935,932.50

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Solution

The third proportional to 125,703,576 and 193,935,932.50 is: 299,205,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,703,576 : 193,935,932.50 = 193,935,932.50 : x
  2. Step 2: Convert to fraction form
    125,703,576/193,935,932.50 = 193,935,932.50/x
  3. Step 3: Cross multiply
    125,703,576x = 193,935,932.50 × 193,935,932.50
  4. Step 4: Simplify right side
    125,703,576x = 37,611,145,914,644,560
  5. Step 5: Solve for x
    x = 37,611,145,914,644,560/125,703,576
  6. Step 6: Final answer
    x = 299,205,059.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.