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Finding the Third Proportional to 48,822,623.50 and 104,440,347.25

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Solution

The third proportional to 48,822,623.50 and 104,440,347.25 is: 223,416,632.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,822,623.50 : 104,440,347.25 = 104,440,347.25 : x
  2. Step 2: Convert to fraction form
    48,822,623.50/104,440,347.25 = 104,440,347.25/x
  3. Step 3: Cross multiply
    48,822,623.50x = 104,440,347.25 × 104,440,347.25
  4. Step 4: Simplify right side
    48,822,623.50x = 10,907,786,133,700,582
  5. Step 5: Solve for x
    x = 10,907,786,133,700,582/48,822,623.50
  6. Step 6: Final answer
    x = 223,416,632.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.