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Finding the Third Proportional to 64,167,282 and 138,563,514

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Solution

The third proportional to 64,167,282 and 138,563,514 is: 299,215,531.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167,282 : 138,563,514 = 138,563,514 : x
  2. Step 2: Convert to fraction form
    64,167,282/138,563,514 = 138,563,514/x
  3. Step 3: Cross multiply
    64,167,282x = 138,563,514 × 138,563,514
  4. Step 4: Simplify right side
    64,167,282x = 19,199,847,412,028,196
  5. Step 5: Solve for x
    x = 19,199,847,412,028,196/64,167,282
  6. Step 6: Final answer
    x = 299,215,531.87

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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.