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Finding the Third Proportional to 194,567,454 and 425,036,706.75

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Solution

The third proportional to 194,567,454 and 425,036,706.75 is: 928,501,650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,567,454 : 425,036,706.75 = 425,036,706.75 : x
  2. Step 2: Convert to fraction form
    194,567,454/425,036,706.75 = 425,036,706.75/x
  3. Step 3: Cross multiply
    194,567,454x = 425,036,706.75 × 425,036,706.75
  4. Step 4: Simplify right side
    194,567,454x = 180,656,202,084,885,504
  5. Step 5: Solve for x
    x = 180,656,202,084,885,504/194,567,454
  6. Step 6: Final answer
    x = 928,501,650.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.