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Finding the Third Proportional to 543,350,145 and 847,310,098.50

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Solution

The third proportional to 543,350,145 and 847,310,098.50 is: 1,321,310,778.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,350,145 : 847,310,098.50 = 847,310,098.50 : x
  2. Step 2: Convert to fraction form
    543,350,145/847,310,098.50 = 847,310,098.50/x
  3. Step 3: Cross multiply
    543,350,145x = 847,310,098.50 × 847,310,098.50
  4. Step 4: Simplify right side
    543,350,145x = 717,934,403,020,079,744
  5. Step 5: Solve for x
    x = 717,934,403,020,079,744/543,350,145
  6. Step 6: Final answer
    x = 1,321,310,778.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.