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Finding the Third Proportional to 226,460,749 and 495,312,114

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Solution

The third proportional to 226,460,749 and 495,312,114 is: 1,083,340,452.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,460,749 : 495,312,114 = 495,312,114 : x
  2. Step 2: Convert to fraction form
    226,460,749/495,312,114 = 495,312,114/x
  3. Step 3: Cross multiply
    226,460,749x = 495,312,114 × 495,312,114
  4. Step 4: Simplify right side
    226,460,749x = 245,334,090,275,148,992
  5. Step 5: Solve for x
    x = 245,334,090,275,148,992/226,460,749
  6. Step 6: Final answer
    x = 1,083,340,452.41

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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.