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Finding the Third Proportional to 195,806,230 and 293,709,379

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Solution

The third proportional to 195,806,230 and 293,709,379 is: 440,564,119.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,806,230 : 293,709,379 = 293,709,379 : x
  2. Step 2: Convert to fraction form
    195,806,230/293,709,379 = 293,709,379/x
  3. Step 3: Cross multiply
    195,806,230x = 293,709,379 × 293,709,379
  4. Step 4: Simplify right side
    195,806,230x = 86,265,199,312,565,648
  5. Step 5: Solve for x
    x = 86,265,199,312,565,648/195,806,230
  6. Step 6: Final answer
    x = 440,564,119.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.