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Finding the Third Proportional to 142,974,738 and 220,932,424.50

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Solution

The third proportional to 142,974,738 and 220,932,424.50 is: 341,396,927.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,974,738 : 220,932,424.50 = 220,932,424.50 : x
  2. Step 2: Convert to fraction form
    142,974,738/220,932,424.50 = 220,932,424.50/x
  3. Step 3: Cross multiply
    142,974,738x = 220,932,424.50 × 220,932,424.50
  4. Step 4: Simplify right side
    142,974,738x = 48,811,136,195,448,200
  5. Step 5: Solve for x
    x = 48,811,136,195,448,200/142,974,738
  6. Step 6: Final answer
    x = 341,396,927.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.