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Finding the Third Proportional to 111,596,319 and 236,468,213

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Solution

The third proportional to 111,596,319 and 236,468,213 is: 501,066,847.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,596,319 : 236,468,213 = 236,468,213 : x
  2. Step 2: Convert to fraction form
    111,596,319/236,468,213 = 236,468,213/x
  3. Step 3: Cross multiply
    111,596,319x = 236,468,213 × 236,468,213
  4. Step 4: Simplify right side
    111,596,319x = 55,917,215,759,413,368
  5. Step 5: Solve for x
    x = 55,917,215,759,413,368/111,596,319
  6. Step 6: Final answer
    x = 501,066,847.55

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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.