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Finding the Third Proportional to 211,586,083 and 326,812,148

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Solution

The third proportional to 211,586,083 and 326,812,148 is: 504,788,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,586,083 : 326,812,148 = 326,812,148 : x
  2. Step 2: Convert to fraction form
    211,586,083/326,812,148 = 326,812,148/x
  3. Step 3: Cross multiply
    211,586,083x = 326,812,148 × 326,812,148
  4. Step 4: Simplify right side
    211,586,083x = 106,806,180,080,373,904
  5. Step 5: Solve for x
    x = 106,806,180,080,373,904/211,586,083
  6. Step 6: Final answer
    x = 504,788,304.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.