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Finding the Third Proportional to 248,525,251.50 and 540,684,655.50

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Solution

The third proportional to 248,525,251.50 and 540,684,655.50 is: 1,176,298,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,525,251.50 : 540,684,655.50 = 540,684,655.50 : x
  2. Step 2: Convert to fraction form
    248,525,251.50/540,684,655.50 = 540,684,655.50/x
  3. Step 3: Cross multiply
    248,525,251.50x = 540,684,655.50 × 540,684,655.50
  4. Step 4: Simplify right side
    248,525,251.50x = 292,339,896,693,153,664
  5. Step 5: Solve for x
    x = 292,339,896,693,153,664/248,525,251.50
  6. Step 6: Final answer
    x = 1,176,298,564.95

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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.