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Finding the Third Proportional to 111,574,921.50 and 260,545,724.25

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Solution

The third proportional to 111,574,921.50 and 260,545,724.25 is: 608,416,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,574,921.50 : 260,545,724.25 = 260,545,724.25 : x
  2. Step 2: Convert to fraction form
    111,574,921.50/260,545,724.25 = 260,545,724.25/x
  3. Step 3: Cross multiply
    111,574,921.50x = 260,545,724.25 × 260,545,724.25
  4. Step 4: Simplify right side
    111,574,921.50x = 67,884,074,424,957,040
  5. Step 5: Solve for x
    x = 67,884,074,424,957,040/111,574,921.50
  6. Step 6: Final answer
    x = 608,416,958.87

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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.