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Finding the Third Proportional to 59,821,079.34 and 129,851,689.78

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Solution

The third proportional to 59,821,079.34 and 129,851,689.78 is: 281,864,879.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,821,079.34 : 129,851,689.78 = 129,851,689.78 : x
  2. Step 2: Convert to fraction form
    59,821,079.34/129,851,689.78 = 129,851,689.78/x
  3. Step 3: Cross multiply
    59,821,079.34x = 129,851,689.78 × 129,851,689.78
  4. Step 4: Simplify right side
    59,821,079.34x = 16,861,461,339,045,986
  5. Step 5: Solve for x
    x = 16,861,461,339,045,986/59,821,079.34
  6. Step 6: Final answer
    x = 281,864,879.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.