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Finding the Third Proportional to 246,838,194 and 514,106,518

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Solution

The third proportional to 246,838,194 and 514,106,518 is: 1,070,764,242.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,838,194 : 514,106,518 = 514,106,518 : x
  2. Step 2: Convert to fraction form
    246,838,194/514,106,518 = 514,106,518/x
  3. Step 3: Cross multiply
    246,838,194x = 514,106,518 × 514,106,518
  4. Step 4: Simplify right side
    246,838,194x = 264,305,511,850,084,320
  5. Step 5: Solve for x
    x = 264,305,511,850,084,320/246,838,194
  6. Step 6: Final answer
    x = 1,070,764,242.63

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