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Finding the Third Proportional to 75,717,835 and 164,702,218

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Solution

The third proportional to 75,717,835 and 164,702,218 is: 358,261,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,835 : 164,702,218 = 164,702,218 : x
  2. Step 2: Convert to fraction form
    75,717,835/164,702,218 = 164,702,218/x
  3. Step 3: Cross multiply
    75,717,835x = 164,702,218 × 164,702,218
  4. Step 4: Simplify right side
    75,717,835x = 27,126,820,614,119,524
  5. Step 5: Solve for x
    x = 27,126,820,614,119,524/75,717,835
  6. Step 6: Final answer
    x = 358,261,968.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.