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Finding the Third Proportional to 246,838,191.75 and 514,106,514

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Solution

The third proportional to 246,838,191.75 and 514,106,514 is: 1,070,764,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,838,191.75 : 514,106,514 = 514,106,514 : x
  2. Step 2: Convert to fraction form
    246,838,191.75/514,106,514 = 514,106,514/x
  3. Step 3: Cross multiply
    246,838,191.75x = 514,106,514 × 514,106,514
  4. Step 4: Simplify right side
    246,838,191.75x = 264,305,507,737,232,192
  5. Step 5: Solve for x
    x = 264,305,507,737,232,192/246,838,191.75
  6. Step 6: Final answer
    x = 1,070,764,235.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.