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Finding the Third Proportional to 168,985,764 and 362,224,260

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Solution

The third proportional to 168,985,764 and 362,224,260 is: 776,434,721.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,985,764 : 362,224,260 = 362,224,260 : x
  2. Step 2: Convert to fraction form
    168,985,764/362,224,260 = 362,224,260/x
  3. Step 3: Cross multiply
    168,985,764x = 362,224,260 × 362,224,260
  4. Step 4: Simplify right side
    168,985,764x = 131,206,414,532,547,600
  5. Step 5: Solve for x
    x = 131,206,414,532,547,600/168,985,764
  6. Step 6: Final answer
    x = 776,434,721.05

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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.