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Finding the Third Proportional to 48,686,902.88 and 102,806,313.75

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Solution

The third proportional to 48,686,902.88 and 102,806,313.75 is: 217,083,805.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,686,902.88 : 102,806,313.75 = 102,806,313.75 : x
  2. Step 2: Convert to fraction form
    48,686,902.88/102,806,313.75 = 102,806,313.75/x
  3. Step 3: Cross multiply
    48,686,902.88x = 102,806,313.75 × 102,806,313.75
  4. Step 4: Simplify right side
    48,686,902.88x = 10,569,138,146,863,440
  5. Step 5: Solve for x
    x = 10,569,138,146,863,440/48,686,902.88
  6. Step 6: Final answer
    x = 217,083,805.35

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.