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Finding the Third Proportional to 157,404,641,868 and 339,890,986,710

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Solution

The third proportional to 157,404,641,868 and 339,890,986,710 is: 733,942,032,939.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,404,641,868 : 339,890,986,710 = 339,890,986,710 : x
  2. Step 2: Convert to fraction form
    157,404,641,868/339,890,986,710 = 339,890,986,710/x
  3. Step 3: Cross multiply
    157,404,641,868x = 339,890,986,710 × 339,890,986,710
  4. Step 4: Simplify right side
    157,404,641,868x = 115,525,882,846,697,389,817,856
  5. Step 5: Solve for x
    x = 115,525,882,846,697,389,817,856/157,404,641,868
  6. Step 6: Final answer
    x = 733,942,032,939.40

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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.