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Finding the Third Proportional to 122,870,538 and 263,975,664

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Solution

The third proportional to 122,870,538 and 263,975,664 is: 567,126,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,870,538 : 263,975,664 = 263,975,664 : x
  2. Step 2: Convert to fraction form
    122,870,538/263,975,664 = 263,975,664/x
  3. Step 3: Cross multiply
    122,870,538x = 263,975,664 × 263,975,664
  4. Step 4: Simplify right side
    122,870,538x = 69,683,151,184,240,896
  5. Step 5: Solve for x
    x = 69,683,151,184,240,896/122,870,538
  6. Step 6: Final answer
    x = 567,126,605.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.