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Finding the Third Proportional to 54,223,720 and 119,207,764

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Solution

The third proportional to 54,223,720 and 119,207,764 is: 262,071,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,223,720 : 119,207,764 = 119,207,764 : x
  2. Step 2: Convert to fraction form
    54,223,720/119,207,764 = 119,207,764/x
  3. Step 3: Cross multiply
    54,223,720x = 119,207,764 × 119,207,764
  4. Step 4: Simplify right side
    54,223,720x = 14,210,490,997,879,696
  5. Step 5: Solve for x
    x = 14,210,490,997,879,696/54,223,720
  6. Step 6: Final answer
    x = 262,071,488.23

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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.