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Finding the Third Proportional to 249,142,601 and 545,205,167

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Solution

The third proportional to 249,142,601 and 545,205,167 is: 1,193,086,501.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,142,601 : 545,205,167 = 545,205,167 : x
  2. Step 2: Convert to fraction form
    249,142,601/545,205,167 = 545,205,167/x
  3. Step 3: Cross multiply
    249,142,601x = 545,205,167 × 545,205,167
  4. Step 4: Simplify right side
    249,142,601x = 297,248,674,123,497,920
  5. Step 5: Solve for x
    x = 297,248,674,123,497,920/249,142,601
  6. Step 6: Final answer
    x = 1,193,086,501.19

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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.