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Finding the Third Proportional to 119,862,164 and 263,054,830

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Solution

The third proportional to 119,862,164 and 263,054,830 is: 577,311,816.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,862,164 : 263,054,830 = 263,054,830 : x
  2. Step 2: Convert to fraction form
    119,862,164/263,054,830 = 263,054,830/x
  3. Step 3: Cross multiply
    119,862,164x = 263,054,830 × 263,054,830
  4. Step 4: Simplify right side
    119,862,164x = 69,197,843,586,328,896
  5. Step 5: Solve for x
    x = 69,197,843,586,328,896/119,862,164
  6. Step 6: Final answer
    x = 577,311,816.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.