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Finding the Third Proportional to 145,605,622 and 196,786,656.50

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Solution

The third proportional to 145,605,622 and 196,786,656.50 is: 265,958,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605,622 : 196,786,656.50 = 196,786,656.50 : x
  2. Step 2: Convert to fraction form
    145,605,622/196,786,656.50 = 196,786,656.50/x
  3. Step 3: Cross multiply
    145,605,622x = 196,786,656.50 × 196,786,656.50
  4. Step 4: Simplify right side
    145,605,622x = 38,724,988,176,448,992
  5. Step 5: Solve for x
    x = 38,724,988,176,448,992/145,605,622
  6. Step 6: Final answer
    x = 265,958,056.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.