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Finding the Third Proportional to 265,226,898 and 557,938,344

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Solution

The third proportional to 265,226,898 and 557,938,344 is: 1,173,693,912.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,226,898 : 557,938,344 = 557,938,344 : x
  2. Step 2: Convert to fraction form
    265,226,898/557,938,344 = 557,938,344/x
  3. Step 3: Cross multiply
    265,226,898x = 557,938,344 × 557,938,344
  4. Step 4: Simplify right side
    265,226,898x = 311,295,195,705,462,336
  5. Step 5: Solve for x
    x = 311,295,195,705,462,336/265,226,898
  6. Step 6: Final answer
    x = 1,173,693,912.85

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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.