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Finding the Third Proportional to 41,989,873.50 and 92,050,951.50

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Solution

The third proportional to 41,989,873.50 and 92,050,951.50 is: 201,795,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,989,873.50 : 92,050,951.50 = 92,050,951.50 : x
  2. Step 2: Convert to fraction form
    41,989,873.50/92,050,951.50 = 92,050,951.50/x
  3. Step 3: Cross multiply
    41,989,873.50x = 92,050,951.50 × 92,050,951.50
  4. Step 4: Simplify right side
    41,989,873.50x = 8,473,377,672,055,352
  5. Step 5: Solve for x
    x = 8,473,377,672,055,352/41,989,873.50
  6. Step 6: Final answer
    x = 201,795,741.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.