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Finding the Third Proportional to 159,685,104 and 346,473,784

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Solution

The third proportional to 159,685,104 and 346,473,784 is: 751,755,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,685,104 : 346,473,784 = 346,473,784 : x
  2. Step 2: Convert to fraction form
    159,685,104/346,473,784 = 346,473,784/x
  3. Step 3: Cross multiply
    159,685,104x = 346,473,784 × 346,473,784
  4. Step 4: Simplify right side
    159,685,104x = 120,044,082,999,278,656
  5. Step 5: Solve for x
    x = 120,044,082,999,278,656/159,685,104
  6. Step 6: Final answer
    x = 751,755,047.86

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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.