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Finding the Third Proportional to 173,345,148 and 384,065,853.75

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Solution

The third proportional to 173,345,148 and 384,065,853.75 is: 850,941,498.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,345,148 : 384,065,853.75 = 384,065,853.75 : x
  2. Step 2: Convert to fraction form
    173,345,148/384,065,853.75 = 384,065,853.75/x
  3. Step 3: Cross multiply
    173,345,148x = 384,065,853.75 × 384,065,853.75
  4. Step 4: Simplify right side
    173,345,148x = 147,506,580,016,716,384
  5. Step 5: Solve for x
    x = 147,506,580,016,716,384/173,345,148
  6. Step 6: Final answer
    x = 850,941,498.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.