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Finding the Third Proportional to 41,781,818.25 and 91,634,908.50

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Solution

The third proportional to 41,781,818.25 and 91,634,908.50 is: 200,971,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,781,818.25 : 91,634,908.50 = 91,634,908.50 : x
  2. Step 2: Convert to fraction form
    41,781,818.25/91,634,908.50 = 91,634,908.50/x
  3. Step 3: Cross multiply
    41,781,818.25x = 91,634,908.50 × 91,634,908.50
  4. Step 4: Simplify right side
    41,781,818.25x = 8,396,956,455,803,372
  5. Step 5: Solve for x
    x = 8,396,956,455,803,372/41,781,818.25
  6. Step 6: Final answer
    x = 200,971,542.35

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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.