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Finding the Third Proportional to 389,039,903.25 and 840,196,210.50

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Solution

The third proportional to 389,039,903.25 and 840,196,210.50 is: 1,814,543,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,039,903.25 : 840,196,210.50 = 840,196,210.50 : x
  2. Step 2: Convert to fraction form
    389,039,903.25/840,196,210.50 = 840,196,210.50/x
  3. Step 3: Cross multiply
    389,039,903.25x = 840,196,210.50 × 840,196,210.50
  4. Step 4: Simplify right side
    389,039,903.25x = 705,929,672,138,560,256
  5. Step 5: Solve for x
    x = 705,929,672,138,560,256/389,039,903.25
  6. Step 6: Final answer
    x = 1,814,543,100.18

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.