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Finding the Third Proportional to 248,292,576 and 532,233,934.50

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Solution

The third proportional to 248,292,576 and 532,233,934.50 is: 1,140,883,733.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,292,576 : 532,233,934.50 = 532,233,934.50 : x
  2. Step 2: Convert to fraction form
    248,292,576/532,233,934.50 = 532,233,934.50/x
  3. Step 3: Cross multiply
    248,292,576x = 532,233,934.50 × 532,233,934.50
  4. Step 4: Simplify right side
    248,292,576x = 283,272,961,033,350,304
  5. Step 5: Solve for x
    x = 283,272,961,033,350,304/248,292,576
  6. Step 6: Final answer
    x = 1,140,883,733.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.