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Finding the Third Proportional to 608,231,785.50 and 942,230,895.75

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Solution

The third proportional to 608,231,785.50 and 942,230,895.75 is: 1,459,639,371.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,231,785.50 : 942,230,895.75 = 942,230,895.75 : x
  2. Step 2: Convert to fraction form
    608,231,785.50/942,230,895.75 = 942,230,895.75/x
  3. Step 3: Cross multiply
    608,231,785.50x = 942,230,895.75 × 942,230,895.75
  4. Step 4: Simplify right side
    608,231,785.50x = 887,799,060,905,847,424
  5. Step 5: Solve for x
    x = 887,799,060,905,847,424/608,231,785.50
  6. Step 6: Final answer
    x = 1,459,639,371.16

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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.