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Finding the Third Proportional to 55,286,829 and 119,971,338

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Solution

The third proportional to 55,286,829 and 119,971,338 is: 260,335,457.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286,829 : 119,971,338 = 119,971,338 : x
  2. Step 2: Convert to fraction form
    55,286,829/119,971,338 = 119,971,338/x
  3. Step 3: Cross multiply
    55,286,829x = 119,971,338 × 119,971,338
  4. Step 4: Simplify right side
    55,286,829x = 14,393,121,941,510,244
  5. Step 5: Solve for x
    x = 14,393,121,941,510,244/55,286,829
  6. Step 6: Final answer
    x = 260,335,457.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.