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Finding the Third Proportional to 209,581,046,446.50 and 455,882,859,288

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Solution

The third proportional to 209,581,046,446.50 and 455,882,859,288 is: 991,641,109,329.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,046,446.50 : 455,882,859,288 = 455,882,859,288 : x
  2. Step 2: Convert to fraction form
    209,581,046,446.50/455,882,859,288 = 455,882,859,288/x
  3. Step 3: Cross multiply
    209,581,046,446.50x = 455,882,859,288 × 455,882,859,288
  4. Step 4: Simplify right side
    209,581,046,446.50x = 207,829,181,392,602,414,448,640
  5. Step 5: Solve for x
    x = 207,829,181,392,602,414,448,640/209,581,046,446.50
  6. Step 6: Final answer
    x = 991,641,109,329.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.