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Finding the Third Proportional to 39,954,016.50 and 87,684,868.50

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Solution

The third proportional to 39,954,016.50 and 87,684,868.50 is: 192,437,127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,954,016.50 : 87,684,868.50 = 87,684,868.50 : x
  2. Step 2: Convert to fraction form
    39,954,016.50/87,684,868.50 = 87,684,868.50/x
  3. Step 3: Cross multiply
    39,954,016.50x = 87,684,868.50 × 87,684,868.50
  4. Step 4: Simplify right side
    39,954,016.50x = 7,688,636,163,862,292
  5. Step 5: Solve for x
    x = 7,688,636,163,862,292/39,954,016.50
  6. Step 6: Final answer
    x = 192,437,127.41

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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.