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Finding the Third Proportional to 44,469,413 and 96,361,585

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Solution

The third proportional to 44,469,413 and 96,361,585 is: 208,807,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,469,413 : 96,361,585 = 96,361,585 : x
  2. Step 2: Convert to fraction form
    44,469,413/96,361,585 = 96,361,585/x
  3. Step 3: Cross multiply
    44,469,413x = 96,361,585 × 96,361,585
  4. Step 4: Simplify right side
    44,469,413x = 9,285,555,063,712,224
  5. Step 5: Solve for x
    x = 9,285,555,063,712,224/44,469,413
  6. Step 6: Final answer
    x = 208,807,682.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.