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Finding the Third Proportional to 145,605,632 and 196,786,671.50

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Solution

The third proportional to 145,605,632 and 196,786,671.50 is: 265,958,078.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,605,632 : 196,786,671.50 = 196,786,671.50 : x
  2. Step 2: Convert to fraction form
    145,605,632/196,786,671.50 = 196,786,671.50/x
  3. Step 3: Cross multiply
    145,605,632x = 196,786,671.50 × 196,786,671.50
  4. Step 4: Simplify right side
    145,605,632x = 38,724,994,080,048,912
  5. Step 5: Solve for x
    x = 38,724,994,080,048,912/145,605,632
  6. Step 6: Final answer
    x = 265,958,078.33

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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.