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Finding the Third Proportional to 265,101,800 and 557,676,144

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Solution

The third proportional to 265,101,800 and 557,676,144 is: 1,173,144,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,101,800 : 557,676,144 = 557,676,144 : x
  2. Step 2: Convert to fraction form
    265,101,800/557,676,144 = 557,676,144/x
  3. Step 3: Cross multiply
    265,101,800x = 557,676,144 × 557,676,144
  4. Step 4: Simplify right side
    265,101,800x = 311,002,681,586,708,736
  5. Step 5: Solve for x
    x = 311,002,681,586,708,736/265,101,800
  6. Step 6: Final answer
    x = 1,173,144,360.34

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.