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Finding the Third Proportional to 69,616,206 and 147,531,132

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Solution

The third proportional to 69,616,206 and 147,531,132 is: 312,648,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,616,206 : 147,531,132 = 147,531,132 : x
  2. Step 2: Convert to fraction form
    69,616,206/147,531,132 = 147,531,132/x
  3. Step 3: Cross multiply
    69,616,206x = 147,531,132 × 147,531,132
  4. Step 4: Simplify right side
    69,616,206x = 21,765,434,909,201,424
  5. Step 5: Solve for x
    x = 21,765,434,909,201,424/69,616,206
  6. Step 6: Final answer
    x = 312,648,967.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.