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Finding the Third Proportional to 249,246,211 and 545,399,198

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Solution

The third proportional to 249,246,211 and 545,399,198 is: 1,193,439,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,246,211 : 545,399,198 = 545,399,198 : x
  2. Step 2: Convert to fraction form
    249,246,211/545,399,198 = 545,399,198/x
  3. Step 3: Cross multiply
    249,246,211x = 545,399,198 × 545,399,198
  4. Step 4: Simplify right side
    249,246,211x = 297,460,285,179,043,200
  5. Step 5: Solve for x
    x = 297,460,285,179,043,200/249,246,211
  6. Step 6: Final answer
    x = 1,193,439,547.13

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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.