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Finding the Third Proportional to 241,574,163 and 369,387,105

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Solution

The third proportional to 241,574,163 and 369,387,105 is: 564,823,785.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,574,163 : 369,387,105 = 369,387,105 : x
  2. Step 2: Convert to fraction form
    241,574,163/369,387,105 = 369,387,105/x
  3. Step 3: Cross multiply
    241,574,163x = 369,387,105 × 369,387,105
  4. Step 4: Simplify right side
    241,574,163x = 136,446,833,340,281,024
  5. Step 5: Solve for x
    x = 136,446,833,340,281,024/241,574,163
  6. Step 6: Final answer
    x = 564,823,785.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.