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Finding the Third Proportional to 229,394,713.50 and 495,341,325

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Solution

The third proportional to 229,394,713.50 and 495,341,325 is: 1,069,610,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,394,713.50 : 495,341,325 = 495,341,325 : x
  2. Step 2: Convert to fraction form
    229,394,713.50/495,341,325 = 495,341,325/x
  3. Step 3: Cross multiply
    229,394,713.50x = 495,341,325 × 495,341,325
  4. Step 4: Simplify right side
    229,394,713.50x = 245,363,028,252,755,616
  5. Step 5: Solve for x
    x = 245,363,028,252,755,616/229,394,713.50
  6. Step 6: Final answer
    x = 1,069,610,648.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.