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Finding the Third Proportional to 192,868,806 and 291,096,820.50

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Solution

The third proportional to 192,868,806 and 291,096,820.50 is: 439,352,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,868,806 : 291,096,820.50 = 291,096,820.50 : x
  2. Step 2: Convert to fraction form
    192,868,806/291,096,820.50 = 291,096,820.50/x
  3. Step 3: Cross multiply
    192,868,806x = 291,096,820.50 × 291,096,820.50
  4. Step 4: Simplify right side
    192,868,806x = 84,737,358,905,209,216
  5. Step 5: Solve for x
    x = 84,737,358,905,209,216/192,868,806
  6. Step 6: Final answer
    x = 439,352,327.95

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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.