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Finding the Third Proportional to 195,573,881 and 414,464,737

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Solution

The third proportional to 195,573,881 and 414,464,737 is: 878,343,352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,573,881 : 414,464,737 = 414,464,737 : x
  2. Step 2: Convert to fraction form
    195,573,881/414,464,737 = 414,464,737/x
  3. Step 3: Cross multiply
    195,573,881x = 414,464,737 × 414,464,737
  4. Step 4: Simplify right side
    195,573,881x = 171,781,018,216,479,168
  5. Step 5: Solve for x
    x = 171,781,018,216,479,168/195,573,881
  6. Step 6: Final answer
    x = 878,343,352.08

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.