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Finding the Third Proportional to 136,305,990 and 211,459,592.25

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Solution

The third proportional to 136,305,990 and 211,459,592.25 is: 328,049,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,305,990 : 211,459,592.25 = 211,459,592.25 : x
  2. Step 2: Convert to fraction form
    136,305,990/211,459,592.25 = 211,459,592.25/x
  3. Step 3: Cross multiply
    136,305,990x = 211,459,592.25 × 211,459,592.25
  4. Step 4: Simplify right side
    136,305,990x = 44,715,159,154,536,264
  5. Step 5: Solve for x
    x = 44,715,159,154,536,264/136,305,990
  6. Step 6: Final answer
    x = 328,049,846.93

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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.