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Finding the Third Proportional to 57,880,072.50 and 120,523,429.50

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Solution

The third proportional to 57,880,072.50 and 120,523,429.50 is: 250,965,426.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,880,072.50 : 120,523,429.50 = 120,523,429.50 : x
  2. Step 2: Convert to fraction form
    57,880,072.50/120,523,429.50 = 120,523,429.50/x
  3. Step 3: Cross multiply
    57,880,072.50x = 120,523,429.50 × 120,523,429.50
  4. Step 4: Simplify right side
    57,880,072.50x = 14,525,897,058,441,470
  5. Step 5: Solve for x
    x = 14,525,897,058,441,470/57,880,072.50
  6. Step 6: Final answer
    x = 250,965,426.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.