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Finding the Third Proportional to 125,398,866 and 193,689,648

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Solution

The third proportional to 125,398,866 and 193,689,648 is: 299,170,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,398,866 : 193,689,648 = 193,689,648 : x
  2. Step 2: Convert to fraction form
    125,398,866/193,689,648 = 193,689,648/x
  3. Step 3: Cross multiply
    125,398,866x = 193,689,648 × 193,689,648
  4. Step 4: Simplify right side
    125,398,866x = 37,515,679,742,363,904
  5. Step 5: Solve for x
    x = 37,515,679,742,363,904/125,398,866
  6. Step 6: Final answer
    x = 299,170,805.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.