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Finding the Third Proportional to 141,230,624 and 304,102,692

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Solution

The third proportional to 141,230,624 and 304,102,692 is: 654,804,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,230,624 : 304,102,692 = 304,102,692 : x
  2. Step 2: Convert to fraction form
    141,230,624/304,102,692 = 304,102,692/x
  3. Step 3: Cross multiply
    141,230,624x = 304,102,692 × 304,102,692
  4. Step 4: Simplify right side
    141,230,624x = 92,478,447,281,646,864
  5. Step 5: Solve for x
    x = 92,478,447,281,646,864/141,230,624
  6. Step 6: Final answer
    x = 654,804,493.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.