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Finding the Third Proportional to 129,347,851 and 193,974,280

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Solution

The third proportional to 129,347,851 and 193,974,280 is: 290,890,192.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,347,851 : 193,974,280 = 193,974,280 : x
  2. Step 2: Convert to fraction form
    129,347,851/193,974,280 = 193,974,280/x
  3. Step 3: Cross multiply
    129,347,851x = 193,974,280 × 193,974,280
  4. Step 4: Simplify right side
    129,347,851x = 37,626,021,301,518,400
  5. Step 5: Solve for x
    x = 37,626,021,301,518,400/129,347,851
  6. Step 6: Final answer
    x = 290,890,192.69

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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.