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Finding the Third Proportional to 64,950,991 and 141,335,972.50

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Solution

The third proportional to 64,950,991 and 141,335,972.50 is: 307,552,768.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,950,991 : 141,335,972.50 = 141,335,972.50 : x
  2. Step 2: Convert to fraction form
    64,950,991/141,335,972.50 = 141,335,972.50/x
  3. Step 3: Cross multiply
    64,950,991x = 141,335,972.50 × 141,335,972.50
  4. Step 4: Simplify right side
    64,950,991x = 19,975,857,122,520,756
  5. Step 5: Solve for x
    x = 19,975,857,122,520,756/64,950,991
  6. Step 6: Final answer
    x = 307,552,768.86

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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.