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Finding the Third Proportional to 89,682,315.75 and 146,441,894.63

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Solution

The third proportional to 89,682,315.75 and 146,441,894.63 is: 239,124,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,682,315.75 : 146,441,894.63 = 146,441,894.63 : x
  2. Step 2: Convert to fraction form
    89,682,315.75/146,441,894.63 = 146,441,894.63/x
  3. Step 3: Cross multiply
    89,682,315.75x = 146,441,894.63 × 146,441,894.63
  4. Step 4: Simplify right side
    89,682,315.75x = 21,445,228,501,359,604
  5. Step 5: Solve for x
    x = 21,445,228,501,359,604/89,682,315.75
  6. Step 6: Final answer
    x = 239,124,383.91

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.