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Finding the Third Proportional to 125,384,310 and 193,666,401

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Solution

The third proportional to 125,384,310 and 193,666,401 is: 299,133,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,384,310 : 193,666,401 = 193,666,401 : x
  2. Step 2: Convert to fraction form
    125,384,310/193,666,401 = 193,666,401/x
  3. Step 3: Cross multiply
    125,384,310x = 193,666,401 × 193,666,401
  4. Step 4: Simplify right side
    125,384,310x = 37,506,674,876,292,800
  5. Step 5: Solve for x
    x = 37,506,674,876,292,800/125,384,310
  6. Step 6: Final answer
    x = 299,133,718.38

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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.