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Finding the Third Proportional to 64,167,234 and 138,561,612

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Solution

The third proportional to 64,167,234 and 138,561,612 is: 299,207,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167,234 : 138,561,612 = 138,561,612 : x
  2. Step 2: Convert to fraction form
    64,167,234/138,561,612 = 138,561,612/x
  3. Step 3: Cross multiply
    64,167,234x = 138,561,612 × 138,561,612
  4. Step 4: Simplify right side
    64,167,234x = 19,199,320,320,038,544
  5. Step 5: Solve for x
    x = 19,199,320,320,038,544/64,167,234
  6. Step 6: Final answer
    x = 299,207,541.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.