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Finding the Third Proportional to 249,976,178 and 543,958,264

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Solution

The third proportional to 249,976,178 and 543,958,264 is: 1,183,675,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,976,178 : 543,958,264 = 543,958,264 : x
  2. Step 2: Convert to fraction form
    249,976,178/543,958,264 = 543,958,264/x
  3. Step 3: Cross multiply
    249,976,178x = 543,958,264 × 543,958,264
  4. Step 4: Simplify right side
    249,976,178x = 295,890,592,973,893,696
  5. Step 5: Solve for x
    x = 295,890,592,973,893,696/249,976,178
  6. Step 6: Final answer
    x = 1,183,675,161.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.