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Finding the Third Proportional to 43,595,707.50 and 102,767,251.50

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Solution

The third proportional to 43,595,707.50 and 102,767,251.50 is: 242,251,097.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,595,707.50 : 102,767,251.50 = 102,767,251.50 : x
  2. Step 2: Convert to fraction form
    43,595,707.50/102,767,251.50 = 102,767,251.50/x
  3. Step 3: Cross multiply
    43,595,707.50x = 102,767,251.50 × 102,767,251.50
  4. Step 4: Simplify right side
    43,595,707.50x = 10,561,107,980,864,252
  5. Step 5: Solve for x
    x = 10,561,107,980,864,252/43,595,707.50
  6. Step 6: Final answer
    x = 242,251,097.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.