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Finding the Third Proportional to 65,709,808 and 102,148,856

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Solution

The third proportional to 65,709,808 and 102,148,856 is: 158,794,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,709,808 : 102,148,856 = 102,148,856 : x
  2. Step 2: Convert to fraction form
    65,709,808/102,148,856 = 102,148,856/x
  3. Step 3: Cross multiply
    65,709,808x = 102,148,856 × 102,148,856
  4. Step 4: Simplify right side
    65,709,808x = 10,434,388,782,108,736
  5. Step 5: Solve for x
    x = 10,434,388,782,108,736/65,709,808
  6. Step 6: Final answer
    x = 158,794,997.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.