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Finding the Third Proportional to 111,596,314.50 and 236,468,205

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Solution

The third proportional to 111,596,314.50 and 236,468,205 is: 501,066,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,596,314.50 : 236,468,205 = 236,468,205 : x
  2. Step 2: Convert to fraction form
    111,596,314.50/236,468,205 = 236,468,205/x
  3. Step 3: Cross multiply
    111,596,314.50x = 236,468,205 × 236,468,205
  4. Step 4: Simplify right side
    111,596,314.50x = 55,917,211,975,922,024
  5. Step 5: Solve for x
    x = 55,917,211,975,922,024/111,596,314.50
  6. Step 6: Final answer
    x = 501,066,833.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.