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Finding the Third Proportional to 48,812,263.50 and 107,002,383

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Solution

The third proportional to 48,812,263.50 and 107,002,383 is: 234,562,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,812,263.50 : 107,002,383 = 107,002,383 : x
  2. Step 2: Convert to fraction form
    48,812,263.50/107,002,383 = 107,002,383/x
  3. Step 3: Cross multiply
    48,812,263.50x = 107,002,383 × 107,002,383
  4. Step 4: Simplify right side
    48,812,263.50x = 11,449,509,967,678,688
  5. Step 5: Solve for x
    x = 11,449,509,967,678,688/48,812,263.50
  6. Step 6: Final answer
    x = 234,562,160.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.