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Finding the Third Proportional to 204,187,680 and 448,050,366

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Solution

The third proportional to 204,187,680 and 448,050,366 is: 983,159,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,187,680 : 448,050,366 = 448,050,366 : x
  2. Step 2: Convert to fraction form
    204,187,680/448,050,366 = 448,050,366/x
  3. Step 3: Cross multiply
    204,187,680x = 448,050,366 × 448,050,366
  4. Step 4: Simplify right side
    204,187,680x = 200,749,130,472,733,952
  5. Step 5: Solve for x
    x = 200,749,130,472,733,952/204,187,680
  6. Step 6: Final answer
    x = 983,159,857.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.