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Finding the Third Proportional to 90,541,929 and 196,125,533

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Solution

The third proportional to 90,541,929 and 196,125,533 is: 424,833,280.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,541,929 : 196,125,533 = 196,125,533 : x
  2. Step 2: Convert to fraction form
    90,541,929/196,125,533 = 196,125,533/x
  3. Step 3: Cross multiply
    90,541,929x = 196,125,533 × 196,125,533
  4. Step 4: Simplify right side
    90,541,929x = 38,465,224,694,534,088
  5. Step 5: Solve for x
    x = 38,465,224,694,534,088/90,541,929
  6. Step 6: Final answer
    x = 424,833,280.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.