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Finding the Third Proportional to 134,701,942 and 197,014,058

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Solution

The third proportional to 134,701,942 and 197,014,058 is: 288,151,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,701,942 : 197,014,058 = 197,014,058 : x
  2. Step 2: Convert to fraction form
    134,701,942/197,014,058 = 197,014,058/x
  3. Step 3: Cross multiply
    134,701,942x = 197,014,058 × 197,014,058
  4. Step 4: Simplify right side
    134,701,942x = 38,814,539,049,627,360
  5. Step 5: Solve for x
    x = 38,814,539,049,627,360/134,701,942
  6. Step 6: Final answer
    x = 288,151,295.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.