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Finding the Third Proportional to 102,857,480 and 214,235,728

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Solution

The third proportional to 102,857,480 and 214,235,728 is: 446,218,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,857,480 : 214,235,728 = 214,235,728 : x
  2. Step 2: Convert to fraction form
    102,857,480/214,235,728 = 214,235,728/x
  3. Step 3: Cross multiply
    102,857,480x = 214,235,728 × 214,235,728
  4. Step 4: Simplify right side
    102,857,480x = 45,896,947,151,689,984
  5. Step 5: Solve for x
    x = 45,896,947,151,689,984/102,857,480
  6. Step 6: Final answer
    x = 446,218,856.92

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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.