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Finding the Third Proportional to 202,357,941,388 and 449,960,230,323

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Solution

The third proportional to 202,357,941,388 and 449,960,230,323 is: 1,000,525,146,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,357,941,388 : 449,960,230,323 = 449,960,230,323 : x
  2. Step 2: Convert to fraction form
    202,357,941,388/449,960,230,323 = 449,960,230,323/x
  3. Step 3: Cross multiply
    202,357,941,388x = 449,960,230,323 × 449,960,230,323
  4. Step 4: Simplify right side
    202,357,941,388x = 202,464,208,872,327,205,617,664
  5. Step 5: Solve for x
    x = 202,464,208,872,327,205,617,664/202,357,941,388
  6. Step 6: Final answer
    x = 1,000,525,146,102.98

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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.