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Finding the Third Proportional to 111,822,056 and 239,189,312

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Solution

The third proportional to 111,822,056 and 239,189,312 is: 511,630,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,822,056 : 239,189,312 = 239,189,312 : x
  2. Step 2: Convert to fraction form
    111,822,056/239,189,312 = 239,189,312/x
  3. Step 3: Cross multiply
    111,822,056x = 239,189,312 × 239,189,312
  4. Step 4: Simplify right side
    111,822,056x = 57,211,526,975,033,344
  5. Step 5: Solve for x
    x = 57,211,526,975,033,344/111,822,056
  6. Step 6: Final answer
    x = 511,630,075.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.