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Finding the Third Proportional to 47,948,292 and 103,569,219

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Solution

The third proportional to 47,948,292 and 103,569,219 is: 223,711,474.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948,292 : 103,569,219 = 103,569,219 : x
  2. Step 2: Convert to fraction form
    47,948,292/103,569,219 = 103,569,219/x
  3. Step 3: Cross multiply
    47,948,292x = 103,569,219 × 103,569,219
  4. Step 4: Simplify right side
    47,948,292x = 10,726,583,124,269,960
  5. Step 5: Solve for x
    x = 10,726,583,124,269,960/47,948,292
  6. Step 6: Final answer
    x = 223,711,474.94

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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.