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Finding the Third Proportional to 230,258,416.50 and 375,951,435.75

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Solution

The third proportional to 230,258,416.50 and 375,951,435.75 is: 613,829,818.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,258,416.50 : 375,951,435.75 = 375,951,435.75 : x
  2. Step 2: Convert to fraction form
    230,258,416.50/375,951,435.75 = 375,951,435.75/x
  3. Step 3: Cross multiply
    230,258,416.50x = 375,951,435.75 × 375,951,435.75
  4. Step 4: Simplify right side
    230,258,416.50x = 141,339,482,042,486,384
  5. Step 5: Solve for x
    x = 141,339,482,042,486,384/230,258,416.50
  6. Step 6: Final answer
    x = 613,829,818.65

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.