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Finding the Third Proportional to 130,073,835 and 191,517,420

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Solution

The third proportional to 130,073,835 and 191,517,420 is: 281,985,398.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,073,835 : 191,517,420 = 191,517,420 : x
  2. Step 2: Convert to fraction form
    130,073,835/191,517,420 = 191,517,420/x
  3. Step 3: Cross multiply
    130,073,835x = 191,517,420 × 191,517,420
  4. Step 4: Simplify right side
    130,073,835x = 36,678,922,163,456,400
  5. Step 5: Solve for x
    x = 36,678,922,163,456,400/130,073,835
  6. Step 6: Final answer
    x = 281,985,398.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.