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Finding the Third Proportional to 153,009,822 and 229,963,170

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Solution

The third proportional to 153,009,822 and 229,963,170 is: 345,618,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,009,822 : 229,963,170 = 229,963,170 : x
  2. Step 2: Convert to fraction form
    153,009,822/229,963,170 = 229,963,170/x
  3. Step 3: Cross multiply
    153,009,822x = 229,963,170 × 229,963,170
  4. Step 4: Simplify right side
    153,009,822x = 52,883,059,556,448,896
  5. Step 5: Solve for x
    x = 52,883,059,556,448,896/153,009,822
  6. Step 6: Final answer
    x = 345,618,724.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.