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Finding the Third Proportional to 216,310,769,671.50 and 317,986,427,223

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Solution

The third proportional to 216,310,769,671.50 and 317,986,427,223 is: 467,454,154,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,310,769,671.50 : 317,986,427,223 = 317,986,427,223 : x
  2. Step 2: Convert to fraction form
    216,310,769,671.50/317,986,427,223 = 317,986,427,223/x
  3. Step 3: Cross multiply
    216,310,769,671.50x = 317,986,427,223 × 317,986,427,223
  4. Step 4: Simplify right side
    216,310,769,671.50x = 101,115,367,898,048,274,366,464
  5. Step 5: Solve for x
    x = 101,115,367,898,048,274,366,464/216,310,769,671.50
  6. Step 6: Final answer
    x = 467,454,154,278.16

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