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Finding the Third Proportional to 75,717,855 and 164,702,258

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Solution

The third proportional to 75,717,855 and 164,702,258 is: 358,262,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,717,855 : 164,702,258 = 164,702,258 : x
  2. Step 2: Convert to fraction form
    75,717,855/164,702,258 = 164,702,258/x
  3. Step 3: Cross multiply
    75,717,855x = 164,702,258 × 164,702,258
  4. Step 4: Simplify right side
    75,717,855x = 27,126,833,790,298,564
  5. Step 5: Solve for x
    x = 27,126,833,790,298,564/75,717,855
  6. Step 6: Final answer
    x = 358,262,047.84

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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.