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Finding the Third Proportional to 83,269,292.50 and 180,439,082.50

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Solution

The third proportional to 83,269,292.50 and 180,439,082.50 is: 390,999,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,269,292.50 : 180,439,082.50 = 180,439,082.50 : x
  2. Step 2: Convert to fraction form
    83,269,292.50/180,439,082.50 = 180,439,082.50/x
  3. Step 3: Cross multiply
    83,269,292.50x = 180,439,082.50 × 180,439,082.50
  4. Step 4: Simplify right side
    83,269,292.50x = 32,558,262,493,441,808
  5. Step 5: Solve for x
    x = 32,558,262,493,441,808/83,269,292.50
  6. Step 6: Final answer
    x = 390,999,629.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.