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Finding the Third Proportional to 102,607,634 and 225,736,590

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Solution

The third proportional to 102,607,634 and 225,736,590 is: 496,620,047.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,607,634 : 225,736,590 = 225,736,590 : x
  2. Step 2: Convert to fraction form
    102,607,634/225,736,590 = 225,736,590/x
  3. Step 3: Cross multiply
    102,607,634x = 225,736,590 × 225,736,590
  4. Step 4: Simplify right side
    102,607,634x = 50,957,008,064,828,096
  5. Step 5: Solve for x
    x = 50,957,008,064,828,096/102,607,634
  6. Step 6: Final answer
    x = 496,620,047.44

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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.