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Finding the Third Proportional to 204,435,061.50 and 446,336,715

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Solution

The third proportional to 204,435,061.50 and 446,336,715 is: 974,473,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,435,061.50 : 446,336,715 = 446,336,715 : x
  2. Step 2: Convert to fraction form
    204,435,061.50/446,336,715 = 446,336,715/x
  3. Step 3: Cross multiply
    204,435,061.50x = 446,336,715 × 446,336,715
  4. Step 4: Simplify right side
    204,435,061.50x = 199,216,463,156,991,232
  5. Step 5: Solve for x
    x = 199,216,463,156,991,232/204,435,061.50
  6. Step 6: Final answer
    x = 974,473,075.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.