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Finding the Third Proportional to 122,870,529 and 263,975,643

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Solution

The third proportional to 122,870,529 and 263,975,643 is: 567,126,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,870,529 : 263,975,643 = 263,975,643 : x
  2. Step 2: Convert to fraction form
    122,870,529/263,975,643 = 263,975,643/x
  3. Step 3: Cross multiply
    122,870,529x = 263,975,643 × 263,975,643
  4. Step 4: Simplify right side
    122,870,529x = 69,683,140,097,263,448
  5. Step 5: Solve for x
    x = 69,683,140,097,263,448/122,870,529
  6. Step 6: Final answer
    x = 567,126,557.23

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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.