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Finding the Third Proportional to 138,535,356 and 301,184,232

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Solution

The third proportional to 138,535,356 and 301,184,232 is: 654,792,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,535,356 : 301,184,232 = 301,184,232 : x
  2. Step 2: Convert to fraction form
    138,535,356/301,184,232 = 301,184,232/x
  3. Step 3: Cross multiply
    138,535,356x = 301,184,232 × 301,184,232
  4. Step 4: Simplify right side
    138,535,356x = 90,711,941,605,429,824
  5. Step 5: Solve for x
    x = 90,711,941,605,429,824/138,535,356
  6. Step 6: Final answer
    x = 654,792,713.03

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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.