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Finding the Third Proportional to 257,908,053.80 and 566,482,826.39

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Solution

The third proportional to 257,908,053.80 and 566,482,826.39 is: 1,244,252,701.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,908,053.80 : 566,482,826.39 = 566,482,826.39 : x
  2. Step 2: Convert to fraction form
    257,908,053.80/566,482,826.39 = 566,482,826.39/x
  3. Step 3: Cross multiply
    257,908,053.80x = 566,482,826.39 × 566,482,826.39
  4. Step 4: Simplify right side
    257,908,053.80x = 320,902,792,595,505,280
  5. Step 5: Solve for x
    x = 320,902,792,595,505,280/257,908,053.80
  6. Step 6: Final answer
    x = 1,244,252,701.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.