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Finding the Third Proportional to 150,872,442.75 and 230,693,599.13

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Solution

The third proportional to 150,872,442.75 and 230,693,599.13 is: 352,745,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,872,442.75 : 230,693,599.13 = 230,693,599.13 : x
  2. Step 2: Convert to fraction form
    150,872,442.75/230,693,599.13 = 230,693,599.13/x
  3. Step 3: Cross multiply
    150,872,442.75x = 230,693,599.13 × 230,693,599.13
  4. Step 4: Simplify right side
    150,872,442.75x = 53,219,536,677,246,200
  5. Step 5: Solve for x
    x = 53,219,536,677,246,200/150,872,442.75
  6. Step 6: Final answer
    x = 352,745,244.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.