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Finding the Third Proportional to 48,917,530.13 and 106,624,512

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Solution

The third proportional to 48,917,530.13 and 106,624,512 is: 232,407,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,917,530.13 : 106,624,512 = 106,624,512 : x
  2. Step 2: Convert to fraction form
    48,917,530.13/106,624,512 = 106,624,512/x
  3. Step 3: Cross multiply
    48,917,530.13x = 106,624,512 × 106,624,512
  4. Step 4: Simplify right side
    48,917,530.13x = 11,368,786,559,238,144
  5. Step 5: Solve for x
    x = 11,368,786,559,238,144/48,917,530.13
  6. Step 6: Final answer
    x = 232,407,207.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.