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Finding the Third Proportional to 460,320,098 and 985,935,268

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Solution

The third proportional to 460,320,098 and 985,935,268 is: 2,111,722,596.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,320,098 : 985,935,268 = 985,935,268 : x
  2. Step 2: Convert to fraction form
    460,320,098/985,935,268 = 985,935,268/x
  3. Step 3: Cross multiply
    460,320,098x = 985,935,268 × 985,935,268
  4. Step 4: Simplify right side
    460,320,098x = 972,068,352,686,231,808
  5. Step 5: Solve for x
    x = 972,068,352,686,231,808/460,320,098
  6. Step 6: Final answer
    x = 2,111,722,596.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.