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Finding the Third Proportional to 195,255,384 and 295,402,500

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Solution

The third proportional to 195,255,384 and 295,402,500 is: 446,915,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,255,384 : 295,402,500 = 295,402,500 : x
  2. Step 2: Convert to fraction form
    195,255,384/295,402,500 = 295,402,500/x
  3. Step 3: Cross multiply
    195,255,384x = 295,402,500 × 295,402,500
  4. Step 4: Simplify right side
    195,255,384x = 87,262,637,006,250,000
  5. Step 5: Solve for x
    x = 87,262,637,006,250,000/195,255,384
  6. Step 6: Final answer
    x = 446,915,394.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.