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Finding the Third Proportional to 193,676,683.50 and 414,983,888.25

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Solution

The third proportional to 193,676,683.50 and 414,983,888.25 is: 889,170,675.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,676,683.50 : 414,983,888.25 = 414,983,888.25 : x
  2. Step 2: Convert to fraction form
    193,676,683.50/414,983,888.25 = 414,983,888.25/x
  3. Step 3: Cross multiply
    193,676,683.50x = 414,983,888.25 × 414,983,888.25
  4. Step 4: Simplify right side
    193,676,683.50x = 172,211,627,507,088,480
  5. Step 5: Solve for x
    x = 172,211,627,507,088,480/193,676,683.50
  6. Step 6: Final answer
    x = 889,170,675.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.