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Finding the Third Proportional to 94,405,023 and 145,800,013.50

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Solution

The third proportional to 94,405,023 and 145,800,013.50 is: 225,174,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,405,023 : 145,800,013.50 = 145,800,013.50 : x
  2. Step 2: Convert to fraction form
    94,405,023/145,800,013.50 = 145,800,013.50/x
  3. Step 3: Cross multiply
    94,405,023x = 145,800,013.50 × 145,800,013.50
  4. Step 4: Simplify right side
    94,405,023x = 21,257,643,936,600,184
  5. Step 5: Solve for x
    x = 21,257,643,936,600,184/94,405,023
  6. Step 6: Final answer
    x = 225,174,924.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.