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Finding the Third Proportional to 41,958,000.50 and 64,800,360.75

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Solution

The third proportional to 41,958,000.50 and 64,800,360.75 is: 100,078,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,958,000.50 : 64,800,360.75 = 64,800,360.75 : x
  2. Step 2: Convert to fraction form
    41,958,000.50/64,800,360.75 = 64,800,360.75/x
  3. Step 3: Cross multiply
    41,958,000.50x = 64,800,360.75 × 64,800,360.75
  4. Step 4: Simplify right side
    41,958,000.50x = 4,199,086,753,330,140.50
  5. Step 5: Solve for x
    x = 4,199,086,753,330,140.50/41,958,000.50
  6. Step 6: Final answer
    x = 100,078,333.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.