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Finding the Third Proportional to 94,031,133 and 142,468,817

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Solution

The third proportional to 94,031,133 and 142,468,817 is: 215,857,909.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,031,133 : 142,468,817 = 142,468,817 : x
  2. Step 2: Convert to fraction form
    94,031,133/142,468,817 = 142,468,817/x
  3. Step 3: Cross multiply
    94,031,133x = 142,468,817 × 142,468,817
  4. Step 4: Simplify right side
    94,031,133x = 20,297,363,817,379,488
  5. Step 5: Solve for x
    x = 20,297,363,817,379,488/94,031,133
  6. Step 6: Final answer
    x = 215,857,909.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.