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Finding the Third Proportional to 122,614,818 and 204,349,854

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Solution

The third proportional to 122,614,818 and 204,349,854 is: 340,569,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,614,818 : 204,349,854 = 204,349,854 : x
  2. Step 2: Convert to fraction form
    122,614,818/204,349,854 = 204,349,854/x
  3. Step 3: Cross multiply
    122,614,818x = 204,349,854 × 204,349,854
  4. Step 4: Simplify right side
    122,614,818x = 41,758,862,829,821,312
  5. Step 5: Solve for x
    x = 41,758,862,829,821,312/122,614,818
  6. Step 6: Final answer
    x = 340,569,463.88

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.