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Finding the Third Proportional to 138,535,364 and 301,184,250

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Solution

The third proportional to 138,535,364 and 301,184,250 is: 654,792,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,535,364 : 301,184,250 = 301,184,250 : x
  2. Step 2: Convert to fraction form
    138,535,364/301,184,250 = 301,184,250/x
  3. Step 3: Cross multiply
    138,535,364x = 301,184,250 × 301,184,250
  4. Step 4: Simplify right side
    138,535,364x = 90,711,952,448,062,496
  5. Step 5: Solve for x
    x = 90,711,952,448,062,496/138,535,364
  6. Step 6: Final answer
    x = 654,792,753.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.