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Finding the Third Proportional to 202,357,941,387 and 449,960,230,321

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Solution

The third proportional to 202,357,941,387 and 449,960,230,321 is: 1,000,525,146,099.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357,941,387 : 449,960,230,321 = 449,960,230,321 : x
  2. Step 2: Convert to fraction form
    202,357,941,387/449,960,230,321 = 449,960,230,321/x
  3. Step 3: Cross multiply
    202,357,941,387x = 449,960,230,321 × 449,960,230,321
  4. Step 4: Simplify right side
    202,357,941,387x = 202,464,208,870,527,379,439,616
  5. Step 5: Solve for x
    x = 202,464,208,870,527,379,439,616/202,357,941,387
  6. Step 6: Final answer
    x = 1,000,525,146,099.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.