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Finding the Third Proportional to 216,310,769,664 and 317,986,427,211

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Solution

The third proportional to 216,310,769,664 and 317,986,427,211 is: 467,454,154,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,310,769,664 : 317,986,427,211 = 317,986,427,211 : x
  2. Step 2: Convert to fraction form
    216,310,769,664/317,986,427,211 = 317,986,427,211/x
  3. Step 3: Cross multiply
    216,310,769,664x = 317,986,427,211 × 317,986,427,211
  4. Step 4: Simplify right side
    216,310,769,664x = 101,115,367,890,416,604,020,736
  5. Step 5: Solve for x
    x = 101,115,367,890,416,604,020,736/216,310,769,664
  6. Step 6: Final answer
    x = 467,454,154,259.08

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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.