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Finding the Third Proportional to 64,635,174 and 138,228,295.50

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Solution

The third proportional to 64,635,174 and 138,228,295.50 is: 295,613,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,635,174 : 138,228,295.50 = 138,228,295.50 : x
  2. Step 2: Convert to fraction form
    64,635,174/138,228,295.50 = 138,228,295.50/x
  3. Step 3: Cross multiply
    64,635,174x = 138,228,295.50 × 138,228,295.50
  4. Step 4: Simplify right side
    64,635,174x = 19,107,061,676,835,320
  5. Step 5: Solve for x
    x = 19,107,061,676,835,320/64,635,174
  6. Step 6: Final answer
    x = 295,613,989.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.