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Finding the Third Proportional to 111,574,926 and 260,545,734

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Solution

The third proportional to 111,574,926 and 260,545,734 is: 608,416,979.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,574,926 : 260,545,734 = 260,545,734 : x
  2. Step 2: Convert to fraction form
    111,574,926/260,545,734 = 260,545,734/x
  3. Step 3: Cross multiply
    111,574,926x = 260,545,734 × 260,545,734
  4. Step 4: Simplify right side
    111,574,926x = 67,884,079,505,598,752
  5. Step 5: Solve for x
    x = 67,884,079,505,598,752/111,574,926
  6. Step 6: Final answer
    x = 608,416,979.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.