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Finding the Third Proportional to 174,621,680 and 291,018,594

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Solution

The third proportional to 174,621,680 and 291,018,594 is: 485,001,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,621,680 : 291,018,594 = 291,018,594 : x
  2. Step 2: Convert to fraction form
    174,621,680/291,018,594 = 291,018,594/x
  3. Step 3: Cross multiply
    174,621,680x = 291,018,594 × 291,018,594
  4. Step 4: Simplify right side
    174,621,680x = 84,691,822,053,736,832
  5. Step 5: Solve for x
    x = 84,691,822,053,736,832/174,621,680
  6. Step 6: Final answer
    x = 485,001,759.54

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.