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Finding the Third Proportional to 123,085,964 and 194,903,472

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Solution

The third proportional to 123,085,964 and 194,903,472 is: 308,624,656.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,085,964 : 194,903,472 = 194,903,472 : x
  2. Step 2: Convert to fraction form
    123,085,964/194,903,472 = 194,903,472/x
  3. Step 3: Cross multiply
    123,085,964x = 194,903,472 × 194,903,472
  4. Step 4: Simplify right side
    123,085,964x = 37,987,363,397,654,784
  5. Step 5: Solve for x
    x = 37,987,363,397,654,784/123,085,964
  6. Step 6: Final answer
    x = 308,624,656.81

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.