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Finding the Third Proportional to 209,581,052,242 and 455,882,867,362

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Solution

The third proportional to 209,581,052,242 and 455,882,867,362 is: 991,641,117,032.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,581,052,242 : 455,882,867,362 = 455,882,867,362 : x
  2. Step 2: Convert to fraction form
    209,581,052,242/455,882,867,362 = 455,882,867,362/x
  3. Step 3: Cross multiply
    209,581,052,242x = 455,882,867,362 × 455,882,867,362
  4. Step 4: Simplify right side
    209,581,052,242x = 207,829,188,754,198,874,816,512
  5. Step 5: Solve for x
    x = 207,829,188,754,198,874,816,512/209,581,052,242
  6. Step 6: Final answer
    x = 991,641,117,032.96

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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.