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Finding the Third Proportional to 249,246,208 and 545,399,192

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Solution

The third proportional to 249,246,208 and 545,399,192 is: 1,193,439,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,246,208 : 545,399,192 = 545,399,192 : x
  2. Step 2: Convert to fraction form
    249,246,208/545,399,192 = 545,399,192/x
  3. Step 3: Cross multiply
    249,246,208x = 545,399,192 × 545,399,192
  4. Step 4: Simplify right side
    249,246,208x = 297,460,278,634,252,864
  5. Step 5: Solve for x
    x = 297,460,278,634,252,864/249,246,208
  6. Step 6: Final answer
    x = 1,193,439,535.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.