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Finding the Third Proportional to 140,239,693.50 and 209,574,634.50

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Solution

The third proportional to 140,239,693.50 and 209,574,634.50 is: 313,188,986.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,239,693.50 : 209,574,634.50 = 209,574,634.50 : x
  2. Step 2: Convert to fraction form
    140,239,693.50/209,574,634.50 = 209,574,634.50/x
  3. Step 3: Cross multiply
    140,239,693.50x = 209,574,634.50 × 209,574,634.50
  4. Step 4: Simplify right side
    140,239,693.50x = 43,921,527,425,808,592
  5. Step 5: Solve for x
    x = 43,921,527,425,808,592/140,239,693.50
  6. Step 6: Final answer
    x = 313,188,986.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.