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Finding the Third Proportional to 102,347,451 and 146,357,865.56

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Solution

The third proportional to 102,347,451 and 146,357,865.56 is: 209,293,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347,451 : 146,357,865.56 = 146,357,865.56 : x
  2. Step 2: Convert to fraction form
    102,347,451/146,357,865.56 = 146,357,865.56/x
  3. Step 3: Cross multiply
    102,347,451x = 146,357,865.56 × 146,357,865.56
  4. Step 4: Simplify right side
    102,347,451x = 21,420,624,812,010,824
  5. Step 5: Solve for x
    x = 21,420,624,812,010,824/102,347,451
  6. Step 6: Final answer
    x = 209,293,192.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.