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Finding the Third Proportional to 102,714,523 and 209,016,261

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Solution

The third proportional to 102,714,523 and 209,016,261 is: 425,332,232.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,714,523 : 209,016,261 = 209,016,261 : x
  2. Step 2: Convert to fraction form
    102,714,523/209,016,261 = 209,016,261/x
  3. Step 3: Cross multiply
    102,714,523x = 209,016,261 × 209,016,261
  4. Step 4: Simplify right side
    102,714,523x = 43,687,797,362,420,120
  5. Step 5: Solve for x
    x = 43,687,797,362,420,120/102,714,523
  6. Step 6: Final answer
    x = 425,332,232.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.