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Finding the Third Proportional to 83,041,888.50 and 194,023,329.75

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Solution

The third proportional to 83,041,888.50 and 194,023,329.75 is: 453,326,064.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,041,888.50 : 194,023,329.75 = 194,023,329.75 : x
  2. Step 2: Convert to fraction form
    83,041,888.50/194,023,329.75 = 194,023,329.75/x
  3. Step 3: Cross multiply
    83,041,888.50x = 194,023,329.75 × 194,023,329.75
  4. Step 4: Simplify right side
    83,041,888.50x = 37,645,052,487,277,232
  5. Step 5: Solve for x
    x = 37,645,052,487,277,232/83,041,888.50
  6. Step 6: Final answer
    x = 453,326,064.32

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.