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Finding the Third Proportional to 48,989,356.50 and 80,666,143.50

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Solution

The third proportional to 48,989,356.50 and 80,666,143.50 is: 132,825,314.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,989,356.50 : 80,666,143.50 = 80,666,143.50 : x
  2. Step 2: Convert to fraction form
    48,989,356.50/80,666,143.50 = 80,666,143.50/x
  3. Step 3: Cross multiply
    48,989,356.50x = 80,666,143.50 × 80,666,143.50
  4. Step 4: Simplify right side
    48,989,356.50x = 6,507,026,707,162,592
  5. Step 5: Solve for x
    x = 6,507,026,707,162,592/48,989,356.50
  6. Step 6: Final answer
    x = 132,825,314.97

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.