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Finding the Third Proportional to 248,525,247.94 and 540,684,649.13

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Solution

The third proportional to 248,525,247.94 and 540,684,649.13 is: 1,176,298,554.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,525,247.94 : 540,684,649.13 = 540,684,649.13 : x
  2. Step 2: Convert to fraction form
    248,525,247.94/540,684,649.13 = 540,684,649.13/x
  3. Step 3: Cross multiply
    248,525,247.94x = 540,684,649.13 × 540,684,649.13
  4. Step 4: Simplify right side
    248,525,247.94x = 292,339,889,799,424,384
  5. Step 5: Solve for x
    x = 292,339,889,799,424,384/248,525,247.94
  6. Step 6: Final answer
    x = 1,176,298,554.07

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