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Finding the Third Proportional to 92,709,942.19 and 143,487,505.69

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Solution

The third proportional to 92,709,942.19 and 143,487,505.69 is: 222,076,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,709,942.19 : 143,487,505.69 = 143,487,505.69 : x
  2. Step 2: Convert to fraction form
    92,709,942.19/143,487,505.69 = 143,487,505.69/x
  3. Step 3: Cross multiply
    92,709,942.19x = 143,487,505.69 × 143,487,505.69
  4. Step 4: Simplify right side
    92,709,942.19x = 20,588,664,288,420,344
  5. Step 5: Solve for x
    x = 20,588,664,288,420,344/92,709,942.19
  6. Step 6: Final answer
    x = 222,076,120.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.