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Finding the Third Proportional to 116,225,174 and 252,879,824

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Solution

The third proportional to 116,225,174 and 252,879,824 is: 550,209,590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,225,174 : 252,879,824 = 252,879,824 : x
  2. Step 2: Convert to fraction form
    116,225,174/252,879,824 = 252,879,824/x
  3. Step 3: Cross multiply
    116,225,174x = 252,879,824 × 252,879,824
  4. Step 4: Simplify right side
    116,225,174x = 63,948,205,386,270,976
  5. Step 5: Solve for x
    x = 63,948,205,386,270,976/116,225,174
  6. Step 6: Final answer
    x = 550,209,590.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.