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Finding the Third Proportional to 102,783,502.13 and 221,948,911.27

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Solution

The third proportional to 102,783,502.13 and 221,948,911.27 is: 479,272,628.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,783,502.13 : 221,948,911.27 = 221,948,911.27 : x
  2. Step 2: Convert to fraction form
    102,783,502.13/221,948,911.27 = 221,948,911.27/x
  3. Step 3: Cross multiply
    102,783,502.13x = 221,948,911.27 × 221,948,911.27
  4. Step 4: Simplify right side
    102,783,502.13x = 49,261,319,211,994,056
  5. Step 5: Solve for x
    x = 49,261,319,211,994,056/102,783,502.13
  6. Step 6: Final answer
    x = 479,272,628.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.