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Finding the Third Proportional to 248,525,271 and 540,684,693

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Solution

The third proportional to 248,525,271 and 540,684,693 is: 1,176,298,635.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,525,271 : 540,684,693 = 540,684,693 : x
  2. Step 2: Convert to fraction form
    248,525,271/540,684,693 = 540,684,693/x
  3. Step 3: Cross multiply
    248,525,271x = 540,684,693 × 540,684,693
  4. Step 4: Simplify right side
    248,525,271x = 292,339,937,244,504,256
  5. Step 5: Solve for x
    x = 292,339,937,244,504,256/248,525,271
  6. Step 6: Final answer
    x = 1,176,298,635.82

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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.