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Finding the Third Proportional to 159,685,110 and 346,473,796

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Solution

The third proportional to 159,685,110 and 346,473,796 is: 751,755,071.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,685,110 : 346,473,796 = 346,473,796 : x
  2. Step 2: Convert to fraction form
    159,685,110/346,473,796 = 346,473,796/x
  3. Step 3: Cross multiply
    159,685,110x = 346,473,796 × 346,473,796
  4. Step 4: Simplify right side
    159,685,110x = 120,044,091,314,649,616
  5. Step 5: Solve for x
    x = 120,044,091,314,649,616/159,685,110
  6. Step 6: Final answer
    x = 751,755,071.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.