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Finding the Third Proportional to 216,310,769,661 and 317,986,427,206.50

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Solution

The third proportional to 216,310,769,661 and 317,986,427,206.50 is: 467,454,154,252.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,310,769,661 : 317,986,427,206.50 = 317,986,427,206.50 : x
  2. Step 2: Convert to fraction form
    216,310,769,661/317,986,427,206.50 = 317,986,427,206.50/x
  3. Step 3: Cross multiply
    216,310,769,661x = 317,986,427,206.50 × 317,986,427,206.50
  4. Step 4: Simplify right side
    216,310,769,661x = 101,115,367,887,554,729,738,240
  5. Step 5: Solve for x
    x = 101,115,367,887,554,729,738,240/216,310,769,661
  6. Step 6: Final answer
    x = 467,454,154,252.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.