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Finding the Third Proportional to 173,407,842 and 284,675,068

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Solution

The third proportional to 173,407,842 and 284,675,068 is: 467,336,963.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,407,842 : 284,675,068 = 284,675,068 : x
  2. Step 2: Convert to fraction form
    173,407,842/284,675,068 = 284,675,068/x
  3. Step 3: Cross multiply
    173,407,842x = 284,675,068 × 284,675,068
  4. Step 4: Simplify right side
    173,407,842x = 81,039,894,340,804,624
  5. Step 5: Solve for x
    x = 81,039,894,340,804,624/173,407,842
  6. Step 6: Final answer
    x = 467,336,963.58

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.