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Finding the Third Proportional to 151,679,820 and 229,113,774

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Solution

The third proportional to 151,679,820 and 229,113,774 is: 346,078,479.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,679,820 : 229,113,774 = 229,113,774 : x
  2. Step 2: Convert to fraction form
    151,679,820/229,113,774 = 229,113,774/x
  3. Step 3: Cross multiply
    151,679,820x = 229,113,774 × 229,113,774
  4. Step 4: Simplify right side
    151,679,820x = 52,493,121,436,523,072
  5. Step 5: Solve for x
    x = 52,493,121,436,523,072/151,679,820
  6. Step 6: Final answer
    x = 346,078,479.24

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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.