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Finding the Third Proportional to 129,302,670 and 193,764,385.50

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Solution

The third proportional to 129,302,670 and 193,764,385.50 is: 290,362,427.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,302,670 : 193,764,385.50 = 193,764,385.50 : x
  2. Step 2: Convert to fraction form
    129,302,670/193,764,385.50 = 193,764,385.50/x
  3. Step 3: Cross multiply
    129,302,670x = 193,764,385.50 × 193,764,385.50
  4. Step 4: Simplify right side
    129,302,670x = 37,544,637,088,192,608
  5. Step 5: Solve for x
    x = 37,544,637,088,192,608/129,302,670
  6. Step 6: Final answer
    x = 290,362,427.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.