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Finding the Third Proportional to 45,579,334.50 and 105,425,583.75

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Solution

The third proportional to 45,579,334.50 and 105,425,583.75 is: 243,850,723.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,579,334.50 : 105,425,583.75 = 105,425,583.75 : x
  2. Step 2: Convert to fraction form
    45,579,334.50/105,425,583.75 = 105,425,583.75/x
  3. Step 3: Cross multiply
    45,579,334.50x = 105,425,583.75 × 105,425,583.75
  4. Step 4: Simplify right side
    45,579,334.50x = 11,114,553,709,028,264
  5. Step 5: Solve for x
    x = 11,114,553,709,028,264/45,579,334.50
  6. Step 6: Final answer
    x = 243,850,723.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.