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Finding the Third Proportional to 69,115,704 and 148,488,366

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Solution

The third proportional to 69,115,704 and 148,488,366 is: 319,012,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115,704 : 148,488,366 = 148,488,366 : x
  2. Step 2: Convert to fraction form
    69,115,704/148,488,366 = 148,488,366/x
  3. Step 3: Cross multiply
    69,115,704x = 148,488,366 × 148,488,366
  4. Step 4: Simplify right side
    69,115,704x = 22,048,794,837,349,956
  5. Step 5: Solve for x
    x = 22,048,794,837,349,956/69,115,704
  6. Step 6: Final answer
    x = 319,012,808.40

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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.