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Finding the Third Proportional to 249,142,605 and 545,205,177

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Solution

The third proportional to 249,142,605 and 545,205,177 is: 1,193,086,525.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,142,605 : 545,205,177 = 545,205,177 : x
  2. Step 2: Convert to fraction form
    249,142,605/545,205,177 = 545,205,177/x
  3. Step 3: Cross multiply
    249,142,605x = 545,205,177 × 545,205,177
  4. Step 4: Simplify right side
    249,142,605x = 297,248,685,027,601,344
  5. Step 5: Solve for x
    x = 297,248,685,027,601,344/249,142,605
  6. Step 6: Final answer
    x = 1,193,086,525.80

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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.