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Finding the Third Proportional to 126,005,148 and 197,664,880.50

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Solution

The third proportional to 126,005,148 and 197,664,880.50 is: 310,077,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,005,148 : 197,664,880.50 = 197,664,880.50 : x
  2. Step 2: Convert to fraction form
    126,005,148/197,664,880.50 = 197,664,880.50/x
  3. Step 3: Cross multiply
    126,005,148x = 197,664,880.50 × 197,664,880.50
  4. Step 4: Simplify right side
    126,005,148x = 39,071,404,983,079,280
  5. Step 5: Solve for x
    x = 39,071,404,983,079,280/126,005,148
  6. Step 6: Final answer
    x = 310,077,846.84

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.