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Finding the Third Proportional to 41,876,820 and 92,020,045.50

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Solution

The third proportional to 41,876,820 and 92,020,045.50 is: 202,204,674.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,876,820 : 92,020,045.50 = 92,020,045.50 : x
  2. Step 2: Convert to fraction form
    41,876,820/92,020,045.50 = 92,020,045.50/x
  3. Step 3: Cross multiply
    41,876,820x = 92,020,045.50 × 92,020,045.50
  4. Step 4: Simplify right side
    41,876,820x = 8,467,688,773,822,070
  5. Step 5: Solve for x
    x = 8,467,688,773,822,070/41,876,820
  6. Step 6: Final answer
    x = 202,204,674.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.