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Finding the Third Proportional to 102,607,624 and 225,736,570.75

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Solution

The third proportional to 102,607,624 and 225,736,570.75 is: 496,620,011.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607,624 : 225,736,570.75 = 225,736,570.75 : x
  2. Step 2: Convert to fraction form
    102,607,624/225,736,570.75 = 225,736,570.75/x
  3. Step 3: Cross multiply
    102,607,624x = 225,736,570.75 × 225,736,570.75
  4. Step 4: Simplify right side
    102,607,624x = 50,956,999,373,969,752
  5. Step 5: Solve for x
    x = 50,956,999,373,969,752/102,607,624
  6. Step 6: Final answer
    x = 496,620,011.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.