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Finding the Third Proportional to 136,306,065 and 211,459,698

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Solution

The third proportional to 136,306,065 and 211,459,698 is: 328,049,994.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,306,065 : 211,459,698 = 211,459,698 : x
  2. Step 2: Convert to fraction form
    136,306,065/211,459,698 = 211,459,698/x
  3. Step 3: Cross multiply
    136,306,065x = 211,459,698 × 211,459,698
  4. Step 4: Simplify right side
    136,306,065x = 44,715,203,878,251,200
  5. Step 5: Solve for x
    x = 44,715,203,878,251,200/136,306,065
  6. Step 6: Final answer
    x = 328,049,994.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.