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Finding the Third Proportional to 69,115,702 and 148,488,364

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Solution

The third proportional to 69,115,702 and 148,488,364 is: 319,012,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,115,702 : 148,488,364 = 148,488,364 : x
  2. Step 2: Convert to fraction form
    69,115,702/148,488,364 = 148,488,364/x
  3. Step 3: Cross multiply
    69,115,702x = 148,488,364 × 148,488,364
  4. Step 4: Simplify right side
    69,115,702x = 22,048,794,243,396,496
  5. Step 5: Solve for x
    x = 22,048,794,243,396,496/69,115,702
  6. Step 6: Final answer
    x = 319,012,809.03

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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.