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Finding the Third Proportional to 124,344,005,299 and 191,007,601,571

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Solution

The third proportional to 124,344,005,299 and 191,007,601,571 is: 293,411,039,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,344,005,299 : 191,007,601,571 = 191,007,601,571 : x
  2. Step 2: Convert to fraction form
    124,344,005,299/191,007,601,571 = 191,007,601,571/x
  3. Step 3: Cross multiply
    124,344,005,299x = 191,007,601,571 × 191,007,601,571
  4. Step 4: Simplify right side
    124,344,005,299x = 36,483,903,857,905,882,890,240
  5. Step 5: Solve for x
    x = 36,483,903,857,905,882,890,240/124,344,005,299
  6. Step 6: Final answer
    x = 293,411,039,560.58

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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.