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Finding the Third Proportional to 200,710,507.50 and 282,648,872.25

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Solution

The third proportional to 200,710,507.50 and 282,648,872.25 is: 398,037,880.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,710,507.50 : 282,648,872.25 = 282,648,872.25 : x
  2. Step 2: Convert to fraction form
    200,710,507.50/282,648,872.25 = 282,648,872.25/x
  3. Step 3: Cross multiply
    200,710,507.50x = 282,648,872.25 × 282,648,872.25
  4. Step 4: Simplify right side
    200,710,507.50x = 79,890,384,984,196,816
  5. Step 5: Solve for x
    x = 79,890,384,984,196,816/200,710,507.50
  6. Step 6: Final answer
    x = 398,037,880.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.