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Finding the Third Proportional to 205,877,872.13 and 452,563,706.25

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Solution

The third proportional to 205,877,872.13 and 452,563,706.25 is: 994,832,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877,872.13 : 452,563,706.25 = 452,563,706.25 : x
  2. Step 2: Convert to fraction form
    205,877,872.13/452,563,706.25 = 452,563,706.25/x
  3. Step 3: Cross multiply
    205,877,872.13x = 452,563,706.25 × 452,563,706.25
  4. Step 4: Simplify right side
    205,877,872.13x = 204,813,908,214,736,288
  5. Step 5: Solve for x
    x = 204,813,908,214,736,288/205,877,872.13
  6. Step 6: Final answer
    x = 994,832,062.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.