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Finding the Third Proportional to 130,195,957.50 and 196,967,740.50

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Solution

The third proportional to 130,195,957.50 and 196,967,740.50 is: 297,983,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,195,957.50 : 196,967,740.50 = 196,967,740.50 : x
  2. Step 2: Convert to fraction form
    130,195,957.50/196,967,740.50 = 196,967,740.50/x
  3. Step 3: Cross multiply
    130,195,957.50x = 196,967,740.50 × 196,967,740.50
  4. Step 4: Simplify right side
    130,195,957.50x = 38,796,290,797,675,344
  5. Step 5: Solve for x
    x = 38,796,290,797,675,344/130,195,957.50
  6. Step 6: Final answer
    x = 297,983,835.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.