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Finding the Third Proportional to 204,570,182.50 and 448,746,206

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Solution

The third proportional to 204,570,182.50 and 448,746,206 is: 984,371,988.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,570,182.50 : 448,746,206 = 448,746,206 : x
  2. Step 2: Convert to fraction form
    204,570,182.50/448,746,206 = 448,746,206/x
  3. Step 3: Cross multiply
    204,570,182.50x = 448,746,206 × 448,746,206
  4. Step 4: Simplify right side
    204,570,182.50x = 201,373,157,399,394,432
  5. Step 5: Solve for x
    x = 201,373,157,399,394,432/204,570,182.50
  6. Step 6: Final answer
    x = 984,371,988.81

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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.