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Finding the Third Proportional to 145,356,734 and 223,423,311

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Solution

The third proportional to 145,356,734 and 223,423,311 is: 343,417,016.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,356,734 : 223,423,311 = 223,423,311 : x
  2. Step 2: Convert to fraction form
    145,356,734/223,423,311 = 223,423,311/x
  3. Step 3: Cross multiply
    145,356,734x = 223,423,311 × 223,423,311
  4. Step 4: Simplify right side
    145,356,734x = 49,917,975,898,202,720
  5. Step 5: Solve for x
    x = 49,917,975,898,202,720/145,356,734
  6. Step 6: Final answer
    x = 343,417,016.36

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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.