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Finding the Third Proportional to 205,877,878.88 and 452,563,719.75

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Solution

The third proportional to 205,877,878.88 and 452,563,719.75 is: 994,832,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,877,878.88 : 452,563,719.75 = 452,563,719.75 : x
  2. Step 2: Convert to fraction form
    205,877,878.88/452,563,719.75 = 452,563,719.75/x
  3. Step 3: Cross multiply
    205,877,878.88x = 452,563,719.75 × 452,563,719.75
  4. Step 4: Simplify right side
    205,877,878.88x = 204,813,920,433,956,544
  5. Step 5: Solve for x
    x = 204,813,920,433,956,544/205,877,878.88
  6. Step 6: Final answer
    x = 994,832,089.55

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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.