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Finding the Third Proportional to 173,144,757,324 and 372,347,205,243

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Solution

The third proportional to 173,144,757,324 and 372,347,205,243 is: 800,731,384,507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,144,757,324 : 372,347,205,243 = 372,347,205,243 : x
  2. Step 2: Convert to fraction form
    173,144,757,324/372,347,205,243 = 372,347,205,243/x
  3. Step 3: Cross multiply
    173,144,757,324x = 372,347,205,243 × 372,347,205,243
  4. Step 4: Simplify right side
    173,144,757,324x = 138,642,441,252,272,773,005,312
  5. Step 5: Solve for x
    x = 138,642,441,252,272,773,005,312/173,144,757,324
  6. Step 6: Final answer
    x = 800,731,384,507.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.