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Finding the Third Proportional to 197,521,146 and 434,140,384.50

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Solution

The third proportional to 197,521,146 and 434,140,384.50 is: 954,216,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,521,146 : 434,140,384.50 = 434,140,384.50 : x
  2. Step 2: Convert to fraction form
    197,521,146/434,140,384.50 = 434,140,384.50/x
  3. Step 3: Cross multiply
    197,521,146x = 434,140,384.50 × 434,140,384.50
  4. Step 4: Simplify right side
    197,521,146x = 188,477,873,453,807,840
  5. Step 5: Solve for x
    x = 188,477,873,453,807,840/197,521,146
  6. Step 6: Final answer
    x = 954,216,180.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.