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Finding the Third Proportional to 181,115,730 and 282,435,270.75

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Solution

The third proportional to 181,115,730 and 282,435,270.75 is: 440,434,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,115,730 : 282,435,270.75 = 282,435,270.75 : x
  2. Step 2: Convert to fraction form
    181,115,730/282,435,270.75 = 282,435,270.75/x
  3. Step 3: Cross multiply
    181,115,730x = 282,435,270.75 × 282,435,270.75
  4. Step 4: Simplify right side
    181,115,730x = 79,769,682,163,625,808
  5. Step 5: Solve for x
    x = 79,769,682,163,625,808/181,115,730
  6. Step 6: Final answer
    x = 440,434,865.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.