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Finding the Third Proportional to 102,136,238 and 152,842,485

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Solution

The third proportional to 102,136,238 and 152,842,485 is: 228,722,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,136,238 : 152,842,485 = 152,842,485 : x
  2. Step 2: Convert to fraction form
    102,136,238/152,842,485 = 152,842,485/x
  3. Step 3: Cross multiply
    102,136,238x = 152,842,485 × 152,842,485
  4. Step 4: Simplify right side
    102,136,238x = 23,360,825,220,975,224
  5. Step 5: Solve for x
    x = 23,360,825,220,975,224/102,136,238
  6. Step 6: Final answer
    x = 228,722,201.62

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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.