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Finding the Third Proportional to 211,983,860 and 319,037,214

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Solution

The third proportional to 211,983,860 and 319,037,214 is: 480,153,271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,983,860 : 319,037,214 = 319,037,214 : x
  2. Step 2: Convert to fraction form
    211,983,860/319,037,214 = 319,037,214/x
  3. Step 3: Cross multiply
    211,983,860x = 319,037,214 × 319,037,214
  4. Step 4: Simplify right side
    211,983,860x = 101,784,743,916,881,792
  5. Step 5: Solve for x
    x = 101,784,743,916,881,792/211,983,860
  6. Step 6: Final answer
    x = 480,153,271.65

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.